2652538233600 has 1512 divisors, whose sum is σ = 10636190302752. Its totient is φ = 652138905600.

The previous prime is 2652538233581. The next prime is 2652538233629. The reversal of 2652538233600 is 63328352562.

2652538233600 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 5 + 3 + 8 + 2 + 33 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 4203705285 + ... + 4203705915.

It is an arithmetic number, because the mean of its divisors is an integer number (7034517396).

Almost surely, 2^{2652538233600} is an apocalyptic number.

2652538233600 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 2652538233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318095151376).

2652538233600 is an abundant number, since it is smaller than the sum of its proper divisors (7983652069152).

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

2652538233600 is an equidigital number, since it uses as much as digits as its factorization.

2652538233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2652538233600 in words is "two trillion, six hundred fifty-two billion, five hundred thirty-eight million, two hundred thirty-three thousand, six hundred".