2876958720 has 576 divisors, whose sum is σ = 11038809600. Its totient is φ = 690094080.

The previous prime is 2876958719. The next prime is 2876958827. The reversal of 2876958720 is 278596782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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, 54282214 + ... + 54282266.

It is an arithmetic number, because the mean of its divisors is an integer number (19164600).

Almost surely, 2^2876958720 is an apocalyptic number.

2876958720 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 2876958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519404800).

2876958720 is an abundant number, since it is smaller than the sum of its proper divisors (8161850880).

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

2876958720 is a wasteful number, since it uses less digits than its factorization.

2876958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2876958720 is about 53637.2885220720. The cubic root of 2876958720 is about 1422.2563348299.

The spelling of 2876958720 in words is "two billion, eight hundred seventy-six million, nine hundred fifty-eight thousand, seven hundred twenty".