2960979000 has 512 divisors, whose sum is σ = 11447654400. Its totient is φ = 622080000.

The previous prime is 2960978957. The next prime is 2960979001. The reversal of 2960979000 is 9790692.

2960979000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (2960979001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16358910 + ... + 16359090.

It is an arithmetic number, because the mean of its divisors is an integer number (22358700).

Almost surely, 2^2960979000 is an apocalyptic number.

2960979000 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 2960979000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723827200).

2960979000 is an abundant number, since it is smaller than the sum of its proper divisors (8486675400).

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

2960979000 is a wasteful number, since it uses less digits than its factorization.

2960979000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 2960979000 is about 54414.8784800628. The cubic root of 2960979000 is about 1435.9691478799.

The spelling of 2960979000 in words is "two billion, nine hundred sixty million, nine hundred seventy-nine thousand".