2477982720 has 176 divisors, whose sum is σ = 8200445760. Its totient is φ = 637894656.

The previous prime is 2477982709. The next prime is 2477982743. The reversal of 2477982720 is 272897742.

It is a happy number.

It is a super-2 number, since 2×2477982720² = 12280796721237196800, which contains 22 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 2477982720.

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, 442659 + ... + 448221.

Almost surely, 2^2477982720 is an apocalyptic number.

2477982720 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 2477982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100222880).

2477982720 is an abundant number, since it is smaller than the sum of its proper divisors (5722463040).

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

2477982720 is a wasteful number, since it uses less digits than its factorization.

2477982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5602 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 2477982720 is about 49779.3402929368. The cubic root of 2477982720 is about 1353.2127815052.

The spelling of 2477982720 in words is "two billion, four hundred seventy-seven million, nine hundred eighty-two thousand, seven hundred twenty".