2400345983025 has 45 divisors (see below), whose sum is σ = 4446399656721. Its totient is φ = 1280147340960.

The previous prime is 2400345983023. The next prime is 2400345983081. The reversal of 2400345983025 is 5203895430042.

The square root of 2400345983025 is 1549305.

It is a perfect power (a square), and thus also a powerful number.

2400345983025 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 3 + 4 + 598 + 30 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 593751925809 + 1806594057216 = 770553^2 + 1344096^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2400345983025 - 2¹ = 2400345983023 is a prime.

It is a super-3 number, since 3×2400345983025³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2400345983023) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 69701511 + ... + 69735939.

Almost surely, 2^{2400345983025} is an apocalyptic number.

2400345983025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2400345983025 is the 1549305-th square number.

2400345983025 is the 774653-rd centered octagonal number.

It is an amenable number.

2400345983025 is a deficient number, since it is larger than the sum of its proper divisors (2046053673696).

2400345983025 is an frugal number, since it uses more digits than its factorization.

2400345983025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68880 (or 34437 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2400345983025 in words is "two trillion, four hundred billion, three hundred forty-five million, nine hundred eighty-three thousand, twenty-five".