2979151200 has 432 divisors, whose sum is σ = 11044824336. Its totient is φ = 754790400.

The previous prime is 2979151193. The next prime is 2979151207. The reversal of 2979151200 is 21519792.

It is an interprime number because it is at equal distance from previous prime (2979151193) and next prime (2979151207).

It is a super-2 number, since 2×2979151200² = 17750683744922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979151207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14119095 + ... + 14119305.

It is an arithmetic number, because the mean of its divisors is an integer number (25566723).

Almost surely, 2^2979151200 is an apocalyptic number.

2979151200 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 2979151200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522412168).

2979151200 is an abundant number, since it is smaller than the sum of its proper divisors (8065673136).

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

2979151200 is a wasteful number, since it uses less digits than its factorization.

2979151200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 2979151200 is about 54581.6012956747. The cubic root of 2979151200 is about 1438.9007814996.

The spelling of 2979151200 in words is "two billion, nine hundred seventy-nine million, one hundred fifty-one thousand, two hundred".