2961590580 has 288 divisors, whose sum is σ = 10276358400. Its totient is φ = 703883520.

The previous prime is 2961590563. The next prime is 2961590581. The reversal of 2961590580 is 850951692.

2961590580 is a `hidden beast` number, since 2 + 9 + 6 + 1 + 590 + 58 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961590581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6746001 + ... + 6746439.

It is an arithmetic number, because the mean of its divisors is an integer number (35681800).

Almost surely, 2^2961590580 is an apocalyptic number.

2961590580 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 2961590580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138179200).

2961590580 is an abundant number, since it is smaller than the sum of its proper divisors (7314767820).

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

2961590580 is a wasteful number, since it uses less digits than its factorization.

2961590580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 2961590580 is about 54420.4977926516. The cubic root of 2961590580 is about 1436.0680058989.

The spelling of 2961590580 in words is "two billion, nine hundred sixty-one million, five hundred ninety thousand, five hundred eighty".