2979700416 has 504 divisors, whose sum is σ = 11218980864. Its totient is φ = 734469120.

The previous prime is 2979700411. The next prime is 2979700421. The reversal of 2979700416 is 6140079792.

It is an interprime number because it is at equal distance from previous prime (2979700411) and next prime (2979700421).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2979700416² = 17757229138221146112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979700411) 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, 23462145 + ... + 23462271.

Almost surely, 2^2979700416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2979700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609490432).

2979700416 is an abundant number, since it is smaller than the sum of its proper divisors (8239280448).

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

2979700416 is a wasteful number, since it uses less digits than its factorization.

2979700416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 2979700416 is about 54586.6322097270. The cubic root of 2979700416 is about 1438.9891980452.

The spelling of 2979700416 in words is "two billion, nine hundred seventy-nine million, seven hundred thousand, four hundred sixteen".