2965956000 has 768 divisors, whose sum is σ = 12318179328. Its totient is φ = 608256000.

The previous prime is 2965955959. The next prime is 2965956023. The reversal of 2965956000 is 6595692.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44267967 + ... + 44268033.

It is an arithmetic number, because the mean of its divisors is an integer number (16039296).

Almost surely, 2^2965956000 is an apocalyptic number.

2965956000 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 2965956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6159089664).

2965956000 is an abundant number, since it is smaller than the sum of its proper divisors (9352223328).

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

2965956000 is a wasteful number, since it uses less digits than its factorization.

2965956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 2965956000 is about 54460.5912564306. The cubic root of 2965956000 is about 1436.7732533137.

The spelling of 2965956000 in words is "two billion, nine hundred sixty-five million, nine hundred fifty-six thousand".