2961126604800 has 2430 divisors, whose sum is σ = 13498756036038. Its totient is φ = 618324295680.

The previous prime is 2961126604789. The next prime is 2961126604801. The reversal of 2961126604800 is 84066211692.

2961126604800 is a `hidden beast` number, since 2 + 9 + 6 + 11 + 26 + 604 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1961254600704 + 999872004096 = 1400448^2 + 999936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2961126604801) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 30527078352 + ... + 30527078448.

Almost surely, 2^{2961126604800} is an apocalyptic number.

2961126604800 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 2961126604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749378018019).

2961126604800 is an abundant number, since it is smaller than the sum of its proper divisors (10537629431238).

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

2961126604800 is a wasteful number, since it uses less digits than its factorization.

2961126604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2961126604800 in words is "two trillion, nine hundred sixty-one billion, one hundred twenty-six million, six hundred four thousand, eight hundred".