2963540580 has 768 divisors, whose sum is σ = 12192768000. Its totient is φ = 528353280.

The previous prime is 2963540563. The next prime is 2963540581. The reversal of 2963540580 is 850453692.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2963540581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 55915834 + ... + 55915886.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000).

Almost surely, 2^2963540580 is an apocalyptic number.

2963540580 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 2963540580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384000).

2963540580 is an abundant number, since it is smaller than the sum of its proper divisors (9229227420).

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

2963540580 is a wasteful number, since it uses less digits than its factorization.

2963540580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 2963540580 is about 54438.4108879016. The cubic root of 2963540580 is about 1436.3831201540.

The spelling of 2963540580 in words is "two billion, nine hundred sixty-three million, five hundred forty thousand, five hundred eighty".