2875896264960 has 720 divisors, whose sum is σ = 10653625737216. Its totient is φ = 740177657856.

The previous prime is 2875896264919. The next prime is 2875896265001. The reversal of 2875896264960 is 694626985782.

It is a happy number.

2875896264960 is a `hidden beast` number, since 2 + 8 + 75 + 8 + 9 + 62 + 6 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2875896264919) and next prime (2875896265001).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 487189369 + ... + 487195271.

Almost surely, 2^{2875896264960} is an apocalyptic number.

2875896264960 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 2875896264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326812868608).

2875896264960 is an abundant number, since it is smaller than the sum of its proper divisors (7777729472256).

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

2875896264960 is a wasteful number, since it uses less digits than its factorization.

2875896264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 2875896264960 in words is "two trillion, eight hundred seventy-five billion, eight hundred ninety-six million, two hundred sixty-four thousand, nine hundred sixty".