2400542042400 has 216 divisors, whose sum is σ = 8470339519824. Its totient is φ = 639734054400.

The previous prime is 2400542042377. The next prime is 2400542042401. The reversal of 2400542042400 is 42402450042.

2400542042400 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 54 + 204 + 2 + 400 = 666.

It is not an unprimeable number, because it can be changed into a prime (2400542042401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11205087 + ... + 11417313.

It is an arithmetic number, because the mean of its divisors is an integer number (39214534814).

Almost surely, 2^{2400542042400} is an apocalyptic number.

2400542042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400542042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235169759912).

2400542042400 is an abundant number, since it is smaller than the sum of its proper divisors (6069797477424).

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

2400542042400 is a wasteful number, since it uses less digits than its factorization.

2400542042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213824 (or 213808 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 2400542042400 its reverse (42402450042), we get a palindrome (2442944492442).

The spelling of 2400542042400 in words is "two trillion, four hundred billion, five hundred forty-two million, forty-two thousand, four hundred".