2151516262140 has 288 divisors, whose sum is σ = 7520492528640. Its totient is φ = 487701485568.

The previous prime is 2151516262123. The next prime is 2151516262163. The reversal of 2151516262140 is 412626151512.

2151516262140 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 5 + 1 + 626 + 21 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2151516262095 and 2151516262104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172156372 + ... + 172168868.

It is an arithmetic number, because the mean of its divisors is an integer number (26112821280).

Almost surely, 2^{2151516262140} is an apocalyptic number.

2151516262140 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 2151516262140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760246264320).

2151516262140 is an abundant number, since it is smaller than the sum of its proper divisors (5368976266500).

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

2151516262140 is a wasteful number, since it uses less digits than its factorization.

2151516262140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13641 (or 13636 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 2151516262140 in words is "two trillion, one hundred fifty-one billion, five hundred sixteen million, two hundred sixty-two thousand, one hundred forty".