2960748000 has 576 divisors, whose sum is σ = 12428881920. Its totient is φ = 653184000.

The previous prime is 2960747921. The next prime is 2960748073. The reversal of 2960748000 is 8470692.

2960748000 is a `hidden beast` number, since 2 + 9 + 607 + 48 + 0 + 0 + 0 = 666.

2960748000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7811811 + ... + 7812189.

It is an arithmetic number, because the mean of its divisors is an integer number (21577920).

Almost surely, 2^2960748000 is an apocalyptic number.

2960748000 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 2960748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214440960).

2960748000 is an abundant number, since it is smaller than the sum of its proper divisors (9468133920).

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

2960748000 is a wasteful number, since it uses less digits than its factorization.

2960748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2960748000 is about 54412.7558574274. The cubic root of 2960748000 is about 1435.9318046566.

The spelling of 2960748000 in words is "two billion, nine hundred sixty million, seven hundred forty-eight thousand".