2515151640564 has 144 divisors (see below), whose sum is σ = 6630373189440. Its totient is φ = 802908288000.

The previous prime is 2515151640523. The next prime is 2515151640667. The reversal of 2515151640564 is 4650461515152.

2515151640564 is a `hidden beast` number, since 2 + 5 + 15 + 15 + 1 + 64 + 0 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455558124 + ... + 455563644.

It is an arithmetic number, because the mean of its divisors is an integer number (46044258260).

Almost surely, 2^{2515151640564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2515151640564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315186594720).

2515151640564 is an abundant number, since it is smaller than the sum of its proper divisors (4115221548876).

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

2515151640564 is a wasteful number, since it uses less digits than its factorization.

2515151640564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9022 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 2515151640564 in words is "two trillion, five hundred fifteen billion, one hundred fifty-one million, six hundred forty thousand, five hundred sixty-four".