2151762036400 has 120 divisors (see below), whose sum is σ = 5218298038800. Its totient is φ = 852621619200.

The previous prime is 2151762036397. The next prime is 2151762036421. The reversal of 2151762036400 is 46302671512.

It is a super-2 number, since 2×2151762036400² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2151762036400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29779516 + ... + 29851684.

It is an arithmetic number, because the mean of its divisors is an integer number (43485816990).

Almost surely, 2^{2151762036400} is an apocalyptic number.

2151762036400 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 2151762036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609149019400).

2151762036400 is an abundant number, since it is smaller than the sum of its proper divisors (3066536002400).

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

2151762036400 is a wasteful number, since it uses less digits than its factorization.

2151762036400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72887 (or 72876 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 2151762036400 in words is "two trillion, one hundred fifty-one billion, seven hundred sixty-two million, thirty-six thousand, four hundred".