2624196960 has 960 divisors, whose sum is σ = 12197122560. Its totient is φ = 521579520.

The previous prime is 2624196947. The next prime is 2624196977. The reversal of 2624196960 is 696914262.

2624196960 is a `hidden beast` number, since 2 + 624 + 19 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114095509 + ... + 114095531.

It is an arithmetic number, because the mean of its divisors is an integer number (12705336).

Almost surely, 2^2624196960 is an apocalyptic number.

2624196960 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 2624196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098561280).

2624196960 is an abundant number, since it is smaller than the sum of its proper divisors (9572925600).

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

2624196960 is a wasteful number, since it uses less digits than its factorization.

2624196960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2624196960 is about 51226.9163623968. The cubic root of 2624196960 is about 1379.3214054964.

It can be divided in two parts, 26241 and 96960, that added together give a square (123201 = 351²).

The spelling of 2624196960 in words is "two billion, six hundred twenty-four million, one hundred ninety-six thousand, nine hundred sixty".