2975978000 has 40 divisors (see below), whose sum is σ = 7195919640. Its totient is φ = 1190390400.

The previous prime is 2975977811. The next prime is 2975978009. The reversal of 2975978000 is 8795792.

It can be written as a sum of positive squares in 4 ways, for example, as 705646096 + 2270331904 = 26564^2 + 47648^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2975978009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741995 + ... + 745994.

It is an arithmetic number, because the mean of its divisors is an integer number (179897991).

Almost surely, 2^2975978000 is an apocalyptic number.

2975978000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2975978000 is an abundant number, since it is smaller than the sum of its proper divisors (4219941640).

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

2975978000 is a wasteful number, since it uses less digits than its factorization.

2975978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488012 (or 1487996 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 47.

The square root of 2975978000 is about 54552.5251477876. The cubic root of 2975978000 is about 1438.3897251930.

The spelling of 2975978000 in words is "two billion, nine hundred seventy-five million, nine hundred seventy-eight thousand".