2940280560 has 960 divisors, whose sum is σ = 13103161344. Its totient is φ = 597196800.

The previous prime is 2940280513. The next prime is 2940280573. The reversal of 2940280560 is 650820492.

It is a happy number.

2940280560 is a `hidden beast` number, since 2 + 94 + 0 + 2 + 8 + 0 + 560 = 666.

2940280560 is digitally balanced in base 2, because in such base 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 191 ways as a sum of consecutive naturals, for example, 71714140 + ... + 71714180.

Almost surely, 2^2940280560 is an apocalyptic number.

2940280560 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 2940280560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551580672).

2940280560 is an abundant number, since it is smaller than the sum of its proper divisors (10162880784).

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

2940280560 is a wasteful number, since it uses less digits than its factorization.

2940280560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2940280560 is about 54224.3539380600. The cubic root of 2940280560 is about 1432.6153192435.

The spelling of 2940280560 in words is "two billion, nine hundred forty million, two hundred eighty thousand, five hundred sixty".