2961201600 has 504 divisors, whose sum is σ = 12455408160. Its totient is φ = 652861440.

The previous prime is 2961201599. The next prime is 2961201611. The reversal of 2961201600 is 61021692.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2922694 + ... + 2923706.

Almost surely, 2^2961201600 is an apocalyptic number.

2961201600 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 2961201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227704080).

2961201600 is an abundant number, since it is smaller than the sum of its proper divisors (9494206560).

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

2961201600 is a wasteful number, since it uses less digits than its factorization.

2961201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2961201600 is about 54416.9238380855. The cubic root of 2961201600 is about 1436.0051313302.

The spelling of 2961201600 in words is "two billion, nine hundred sixty-one million, two hundred one thousand, six hundred".