2961130421700 has 288 divisors, whose sum is σ = 10513110867840. Its totient is φ = 717849216000.

The previous prime is 2961130421657. The next prime is 2961130421713. The reversal of 2961130421700 is 71240311692.

2961130421700 is a `hidden beast` number, since 2 + 9 + 611 + 30 + 4 + 2 + 1 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1790260 + ... + 3021140.

It is an arithmetic number, because the mean of its divisors is an integer number (36503857180).

Almost surely, 2^{2961130421700} is an apocalyptic number.

2961130421700 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 2961130421700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256555433920).

2961130421700 is an abundant number, since it is smaller than the sum of its proper divisors (7551980446140).

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

2961130421700 is a wasteful number, since it uses less digits than its factorization.

2961130421700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230927 (or 1230902 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2961130421700 in words is "two trillion, nine hundred sixty-one billion, one hundred thirty million, four hundred twenty-one thousand, seven hundred".