2913374880 has 288 divisors, whose sum is σ = 11271536640. Its totient is φ = 679311360.

The previous prime is 2913374839. The next prime is 2913374897. The reversal of 2913374880 is 884733192.

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 351585 + ... + 359775.

It is an arithmetic number, because the mean of its divisors is an integer number (39137280).

Almost surely, 2^2913374880 is an apocalyptic number.

2913374880 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 2913374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5635768320).

2913374880 is an abundant number, since it is smaller than the sum of its proper divisors (8358161760).

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

2913374880 is a wasteful number, since it uses less digits than its factorization.

2913374880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2913374880 is about 53975.6878603691. The cubic root of 2913374880 is about 1428.2321021877.

The spelling of 2913374880 in words is "two billion, nine hundred thirteen million, three hundred seventy-four thousand, eight hundred eighty".