2488400538624 has 3520 divisors, whose sum is σ = 11073297134592. Its totient is φ = 535088332800.

The previous prime is 2488400538577. The next prime is 2488400538647. The reversal of 2488400538624 is 4268350048842.

2488400538624 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 4 + 0 + 0 + 5 + 3 + 8 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 57869779947 + ... + 57869779989.

Almost surely, 2^{2488400538624} is an apocalyptic number.

2488400538624 is a gapful number since it is divisible by the number (24) 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 2488400538624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536648567296).

2488400538624 is an abundant number, since it is smaller than the sum of its proper divisors (8584896595968).

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

2488400538624 is a wasteful number, since it uses less digits than its factorization.

2488400538624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 2488400538624 in words is "two trillion, four hundred eighty-eight billion, four hundred million, five hundred thirty-eight thousand, six hundred twenty-four".