2968596480 has 208 divisors, whose sum is σ = 10002193920. Its totient is φ = 749666304.

The previous prime is 2968596479. The next prime is 2968596493. The reversal of 2968596480 is 846958692.

It is a super-2 number, since 2×2968596480² = 17625130122136780800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2968596480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166089 + ... + 1168631.

Almost surely, 2^2968596480 is an apocalyptic number.

2968596480 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 2968596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001096960).

2968596480 is an abundant number, since it is smaller than the sum of its proper divisors (7033597440).

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

2968596480 is a wasteful number, since it uses less digits than its factorization.

2968596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The square root of 2968596480 is about 54484.8279799065. The cubic root of 2968596480 is about 1437.1994953953.

The spelling of 2968596480 in words is "two billion, nine hundred sixty-eight million, five hundred ninety-six thousand, four hundred eighty".