2999424960 has 168 divisors, whose sum is σ = 11790675936. Its totient is φ = 685578240.

The previous prime is 2999424941. The next prime is 2999424997. The reversal of 2999424960 is 694249992.

2999424960 is a `hidden beast` number, since 29 + 99 + 42 + 496 + 0 = 666.

2999424960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 2999424897 and 2999424906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54231 + ... + 94550.

Almost surely, 2^2999424960 is an apocalyptic number.

2999424960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2999424960 is an abundant number, since it is smaller than the sum of its proper divisors (8791250976).

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

2999424960 is a wasteful number, since it uses less digits than its factorization.

2999424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148811 (or 148798 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 2999424960 is about 54767.0061259514. The cubic root of 2999424960 is about 1442.1574142865.

Subtracting from 2999424960 its product of nonzero digits (2519424), we obtain a square (2996905536 = 54744²).

The spelling of 2999424960 in words is "two billion, nine hundred ninety-nine million, four hundred twenty-four thousand, nine hundred sixty".