2952980640 has 288 divisors, whose sum is σ = 10540647936. Its totient is φ = 751933440.

The previous prime is 2952980623. The next prime is 2952980663. The reversal of 2952980640 is 460892592.

2952980640 is a `hidden beast` number, since 2 + 9 + 529 + 80 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3704722 + ... + 3705518.

It is an arithmetic number, because the mean of its divisors is an integer number (36599472).

Almost surely, 2^2952980640 is an apocalyptic number.

2952980640 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 2952980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270323968).

2952980640 is an abundant number, since it is smaller than the sum of its proper divisors (7587667296).

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

2952980640 is a wasteful number, since it uses less digits than its factorization.

2952980640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2952980640 is about 54341.3345437890. The cubic root of 2952980640 is about 1434.6750088575.

The spelling of 2952980640 in words is "two billion, nine hundred fifty-two million, nine hundred eighty thousand, six hundred forty".