2964882960000 has 1280 divisors, whose sum is σ = 12470480668800. Its totient is φ = 686776320000.

The previous prime is 2964882959999. The next prime is 2964882960019. The reversal of 2964882960000 is 692884692.

It is a happy number.

2964882960000 is a `hidden beast` number, since 2 + 9 + 6 + 4 + 8 + 8 + 29 + 600 + 0 + 0 = 666.

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

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, 477356895 + ... + 477363105.

Almost surely, 2^{2964882960000} is an apocalyptic number.

2964882960000 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 2964882960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235240334400).

2964882960000 is an abundant number, since it is smaller than the sum of its proper divisors (9505597708800).

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

2964882960000 is a wasteful number, since it uses less digits than its factorization.

2964882960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6284 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2964882960000 in words is "two trillion, nine hundred sixty-four billion, eight hundred eighty-two million, nine hundred sixty thousand".