2913678480 has 160 divisors (see below), whose sum is σ = 9233409024. Its totient is φ = 759889408.

The previous prime is 2913678403. The next prime is 2913678497. The reversal of 2913678480 is 848763192.

It is a super-2 number, since 2×2913678480² = 16979044569630220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2130757 + ... + 2132123.

Almost surely, 2^2913678480 is an apocalyptic number.

2913678480 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 2913678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616704512).

2913678480 is an abundant number, since it is smaller than the sum of its proper divisors (6319730544).

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

2913678480 is a wasteful number, since it uses less digits than its factorization.

2913678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2913678480 is about 53978.5001644173. The cubic root of 2913678480 is about 1428.2817120300.

The spelling of 2913678480 in words is "two billion, nine hundred thirteen million, six hundred seventy-eight thousand, four hundred eighty".