2151642517920 has 576 divisors, whose sum is σ = 8667010969344. Its totient is φ = 475906129920.

The previous prime is 2151642517919. The next prime is 2151642517949. The reversal of 2151642517920 is 297152461512.

2151642517920 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 6 + 42 + 517 + 92 + 0 = 666.

It is a super-2 number, since 2×2151642517920² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38971935 + ... + 39027105.

It is an arithmetic number, because the mean of its divisors is an integer number (15046894044).

Almost surely, 2^{2151642517920} is an apocalyptic number.

2151642517920 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 2151642517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333505484672).

2151642517920 is an abundant number, since it is smaller than the sum of its proper divisors (6515368451424).

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

2151642517920 is a wasteful number, since it uses less digits than its factorization.

2151642517920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55325 (or 55314 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 2151642517920 in words is "two trillion, one hundred fifty-one billion, six hundred forty-two million, five hundred seventeen thousand, nine hundred twenty".