2978814720 has 144 divisors (see below), whose sum is σ = 10872771840. Its totient is φ = 680865792.

The previous prime is 2978814719. The next prime is 2978814733. The reversal of 2978814720 is 274188792.

It is a super-4 number, since 4×2978814720⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2978814720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28530 + ... + 82289.

It is an arithmetic number, because the mean of its divisors is an integer number (75505360).

Almost surely, 2^2978814720 is an apocalyptic number.

2978814720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2978814720 is an abundant number, since it is smaller than the sum of its proper divisors (7893957120).

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

2978814720 is a wasteful number, since it uses less digits than its factorization.

2978814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110850 (or 110836 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 2978814720 is about 54578.5188512843. The cubic root of 2978814720 is about 1438.8466072812.

The spelling of 2978814720 in words is "two billion, nine hundred seventy-eight million, eight hundred fourteen thousand, seven hundred twenty".