2961353803968 has 672 divisors, whose sum is σ = 10363660369920. Its totient is φ = 790125557760.

The previous prime is 2961353803913. The next prime is 2961353803973. The reversal of 2961353803968 is 8693083531692.

2961353803968 is a `hidden beast` number, since 2 + 9 + 6 + 1 + 3 + 538 + 0 + 3 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2872311613 + ... + 2872312643.

Almost surely, 2^{2961353803968} is an apocalyptic number.

2961353803968 is a gapful number since it is divisible by the number (28) 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 2961353803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181830184960).

2961353803968 is an abundant number, since it is smaller than the sum of its proper divisors (7402306565952).

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

2961353803968 is a wasteful number, since it uses less digits than its factorization.

2961353803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 2961353803968 in words is "two trillion, nine hundred sixty-one billion, three hundred fifty-three million, eight hundred three thousand, nine hundred sixty-eight".