2961417900 has 432 divisors, whose sum is σ = 10971797760. Its totient is φ = 612057600.

The previous prime is 2961417871. The next prime is 2961417929. The reversal of 2961417900 is 97141692.

It is an interprime number because it is at equal distance from previous prime (2961417871) and next prime (2961417929).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6423670 + ... + 6424130.

It is an arithmetic number, because the mean of its divisors is an integer number (25397680).

Almost surely, 2^2961417900 is an apocalyptic number.

2961417900 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 2961417900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

2961417900 is an abundant number, since it is smaller than the sum of its proper divisors (8010379860).

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

2961417900 is a wasteful number, since it uses less digits than its factorization.

2961417900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 2961417900 is about 54418.9112349742. The cubic root of 2961417900 is about 1436.0400946536.

The spelling of 2961417900 in words is "two billion, nine hundred sixty-one million, four hundred seventeen thousand, nine hundred".