2876534640 has 960 divisors, whose sum is σ = 13062021120. Its totient is φ = 567336960.

The previous prime is 2876534627. The next prime is 2876534653. The reversal of 2876534640 is 464356782.

2876534640 is a `hidden beast` number, since 2 + 8 + 76 + 534 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2876534627) and next prime (2876534653).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 92791425 + ... + 92791455.

It is an arithmetic number, because the mean of its divisors is an integer number (13606272).

Almost surely, 2^2876534640 is an apocalyptic number.

2876534640 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 2876534640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531010560).

2876534640 is an abundant number, since it is smaller than the sum of its proper divisors (10185486480).

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

2876534640 is a wasteful number, since it uses less digits than its factorization.

2876534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2876534640 is about 53633.3351564118. The cubic root of 2876534640 is about 1422.1864485179.

The spelling of 2876534640 in words is "two billion, eight hundred seventy-six million, five hundred thirty-four thousand, six hundred forty".