2980042560 has 336 divisors, whose sum is σ = 11297594880. Its totient is φ = 714977280.

The previous prime is 2980042529. The next prime is 2980042561. The reversal of 2980042560 is 652400892.

It is a happy number.

2980042560 is a `hidden beast` number, since 2 + 98 + 0 + 0 + 4 + 2 + 560 = 666.

It is a super-2 number, since 2×2980042560² = 17761307318822707200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980042561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3452689 + ... + 3453551.

Almost surely, 2^2980042560 is an apocalyptic number.

2980042560 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 2980042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648797440).

2980042560 is an abundant number, since it is smaller than the sum of its proper divisors (8317552320).

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

2980042560 is a wasteful number, since it uses less digits than its factorization.

2980042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 993 counting only the distinct ones).

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

The square root of 2980042560 is about 54589.7660738714. The cubic root of 2980042560 is about 1439.0442732327.

The spelling of 2980042560 in words is "two billion, nine hundred eighty million, forty-two thousand, five hundred sixty".