2965160400 has 240 divisors, whose sum is σ = 10123066368. Its totient is φ = 739328000.

The previous prime is 2965160399. The next prime is 2965160441. The reversal of 2965160400 is 40615692.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3896020 + ... + 3896780.

Almost surely, 2^2965160400 is an apocalyptic number.

2965160400 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 2965160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061533184).

2965160400 is an abundant number, since it is smaller than the sum of its proper divisors (7157905968).

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

2965160400 is a wasteful number, since it uses less digits than its factorization.

2965160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2965160400 is about 54453.2864021998. The cubic root of 2965160400 is about 1436.6447732075.

The spelling of 2965160400 in words is "two billion, nine hundred sixty-five million, one hundred sixty thousand, four hundred".