2913876000 has 576 divisors, whose sum is σ = 12232636416. Its totient is φ = 642816000.

The previous prime is 2913875981. The next prime is 2913876001. The reversal of 2913876000 is 6783192.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2913876001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7811814 + ... + 7812186.

It is an arithmetic number, because the mean of its divisors is an integer number (21237216).

Almost surely, 2^2913876000 is an apocalyptic number.

2913876000 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 2913876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116318208).

2913876000 is an abundant number, since it is smaller than the sum of its proper divisors (9318760416).

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

2913876000 is a wasteful number, since it uses less digits than its factorization.

2913876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2913876000 is about 53980.3297507527. The cubic root of 2913876000 is about 1428.3139859901.

The spelling of 2913876000 in words is "two billion, nine hundred thirteen million, eight hundred seventy-six thousand".