2963690496 has 264 divisors, whose sum is σ = 9544833480. Its totient is φ = 879427584.

The previous prime is 2963690447. The next prime is 2963690501. The reversal of 2963690496 is 6940963692.

2963690496 is a `hidden beast` number, since 2 + 9 + 63 + 6 + 90 + 496 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11289600 + 2952400896 = 3360^2 + 54336^2 .

It is a super-2 number, since 2×2963690496² = 17566922712161452032, which contains 22 as substring.

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, 3474006 + ... + 3474858.

Almost surely, 2^2963690496 is an apocalyptic number.

2963690496 is a gapful number since it is divisible by the number (26) 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 2963690496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772416740).

2963690496 is an abundant number, since it is smaller than the sum of its proper divisors (6581142984).

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

2963690496 is a wasteful number, since it uses less digits than its factorization.

2963690496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 2963690496 is about 54439.7878026724. The cubic root of 2963690496 is about 1436.4073404152.

The spelling of 2963690496 in words is "two billion, nine hundred sixty-three million, six hundred ninety thousand, four hundred ninety-six".