2979753480 has 576 divisors, whose sum is σ = 11711044800. Its totient is φ = 674956800.

The previous prime is 2979753479. The next prime is 2979753529. The reversal of 2979753480 is 843579792.

2979753480 is a `hidden beast` number, since 2 + 97 + 9 + 75 + 3 + 480 = 666.

It is a super-2 number, since 2×2979753480² = 17757861603144220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96121065 + ... + 96121095.

It is an arithmetic number, because the mean of its divisors is an integer number (20331675).

Almost surely, 2^2979753480 is an apocalyptic number.

2979753480 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 2979753480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855522400).

2979753480 is an abundant number, since it is smaller than the sum of its proper divisors (8731291320).

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

2979753480 is a wasteful number, since it uses less digits than its factorization.

2979753480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 2979753480 is about 54587.1182606300. The cubic root of 2979753480 is about 1438.9977400751.

The spelling of 2979753480 in words is "two billion, nine hundred seventy-nine million, seven hundred fifty-three thousand, four hundred eighty".