2400260624600 has 48 divisors (see below), whose sum is σ = 5581843520400. Its totient is φ = 959891335040.

The previous prime is 2400260624561. The next prime is 2400260624603. The reversal of 2400260624600 is 64260620042.

2400260624600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2400260624600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400260624603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425060 + ... + 2231859.

It is an arithmetic number, because the mean of its divisors is an integer number (116288406675).

Almost surely, 2^{2400260624600} is an apocalyptic number.

2400260624600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400260624600 is an abundant number, since it is smaller than the sum of its proper divisors (3181582895800).

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

2400260624600 is a wasteful number, since it uses less digits than its factorization.

2400260624600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661452 (or 2661443 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 2400260624600 in words is "two trillion, four hundred billion, two hundred sixty million, six hundred twenty-four thousand, six hundred".