2641471560 has 960 divisors, whose sum is σ = 11982136320. Its totient is φ = 507617280.

The previous prime is 2641471559. The next prime is 2641471579. The reversal of 2641471560 is 651741462.

2641471560 is a `hidden beast` number, since 2 + 641 + 4 + 7 + 1 + 5 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 85208745 + ... + 85208775.

It is an arithmetic number, because the mean of its divisors is an integer number (12481392).

Almost surely, 2^2641471560 is an apocalyptic number.

2641471560 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 2641471560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991068160).

2641471560 is an abundant number, since it is smaller than the sum of its proper divisors (9340664760).

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

2641471560 is a wasteful number, since it uses less digits than its factorization.

2641471560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2641471560 is about 51395.2484185065. The cubic root of 2641471560 is about 1382.3413938190.

The spelling of 2641471560 in words is "two billion, six hundred forty-one million, four hundred seventy-one thousand, five hundred sixty".