2602156795200 has 1344 divisors, whose sum is σ = 10204704000000. Its totient is φ = 643121233920.

The previous prime is 2602156795193. The next prime is 2602156795253. The reversal of 2602156795200 is 25976512062.

2602156795200 is a `hidden beast` number, since 2 + 6 + 0 + 2 + 1 + 56 + 79 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13076164701 + ... + 13076164899.

Almost surely, 2^{2602156795200} is an apocalyptic number.

2602156795200 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 2602156795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5102352000000).

2602156795200 is an abundant number, since it is smaller than the sum of its proper divisors (7602547204800).

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

2602156795200 is a wasteful number, since it uses less digits than its factorization.

2602156795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 2602156795200 in words is "two trillion, six hundred two billion, one hundred fifty-six million, seven hundred ninety-five thousand, two hundred".