2420735625 has 320 divisors, whose sum is σ = 5902110720. Its totient is φ = 962280000.

The previous prime is 2420735623. The next prime is 2420735659. The reversal of 2420735625 is 5265370242.

2420735625 is a `hidden beast` number, since 2 + 4 + 20 + 7 + 3 + 5 + 625 = 666.

It is not a de Polignac number, because 2420735625 - 2¹ = 2420735623 is a prime.

It is a super-2 number, since 2×2420735625² = 11719921932288281250, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2420735625.

It is not an unprimeable number, because it can be changed into a prime (2420735623) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 105249364 + ... + 105249386.

It is an arithmetic number, because the mean of its divisors is an integer number (18444096).

Almost surely, 2^2420735625 is an apocalyptic number.

2420735625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2420735625 is an abundant number, since it is smaller than the sum of its proper divisors (3481375095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2420735625 is an frugal number, since it uses more digits than its factorization.

2420735625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2420735625 is about 49200.9717891832. The cubic root of 2420735625 is about 1342.7107125330.

The spelling of 2420735625 in words is "two billion, four hundred twenty million, seven hundred thirty-five thousand, six hundred twenty-five".