2151513251440 has 160 divisors (see below), whose sum is σ = 5829309757440. Its totient is φ = 723232281600.

The previous prime is 2151513251423. The next prime is 2151513251471. The reversal of 2151513251440 is 441523151512.

It is a super-2 number, since 2×2151513251440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2151513251396 and 2151513251405.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10522501 + ... + 10725019.

It is an arithmetic number, because the mean of its divisors is an integer number (36433185984).

Almost surely, 2^{2151513251440} is an apocalyptic number.

2151513251440 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 2151513251440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914654878720).

2151513251440 is an abundant number, since it is smaller than the sum of its proper divisors (3677796506000).

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

2151513251440 is a wasteful number, since it uses less digits than its factorization.

2151513251440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202911 (or 202905 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The spelling of 2151513251440 in words is "two trillion, one hundred fifty-one billion, five hundred thirteen million, two hundred fifty-one thousand, four hundred forty".