2962422288000 has 1024 divisors, whose sum is σ = 12514928025600. Its totient is φ = 674707968000.

The previous prime is 2962422287977. The next prime is 2962422288019. The reversal of 2962422288000 is 8822242692.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 928366405 + ... + 928369595.

It is an arithmetic number, because the mean of its divisors is an integer number (12221609400).

Almost surely, 2^{2962422288000} is an apocalyptic number.

2962422288000 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 2962422288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257464012800).

2962422288000 is an abundant number, since it is smaller than the sum of its proper divisors (9552505737600).

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

2962422288000 is a wasteful number, since it uses less digits than its factorization.

2962422288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2962422288000 in words is "two trillion, nine hundred sixty-two billion, four hundred twenty-two million, two hundred eighty-eight thousand".