2963490274080 has 960 divisors, whose sum is σ = 12608056581120. Its totient is φ = 640381593600.

The previous prime is 2963490274079. The next prime is 2963490274097. The reversal of 2963490274080 is 804720943692.

2963490274080 is a `hidden beast` number, since 2 + 9 + 6 + 3 + 490 + 2 + 74 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 984219775 + ... + 984222785.

It is an arithmetic number, because the mean of its divisors is an integer number (13133392272).

Almost surely, 2^{2963490274080} is an apocalyptic number.

2963490274080 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 2963490274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304028290560).

2963490274080 is an abundant number, since it is smaller than the sum of its proper divisors (9644566307040).

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

2963490274080 is a wasteful number, since it uses less digits than its factorization.

2963490274080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2963490274080 in words is "two trillion, nine hundred sixty-three billion, four hundred ninety million, two hundred seventy-four thousand, eighty".