2671522560 has 504 divisors, whose sum is σ = 10991732640. Its totient is φ = 609140736.

The previous prime is 2671522559. The next prime is 2671522561. The reversal of 2671522560 is 652251762.

2671522560 is a `hidden beast` number, since 2 + 6 + 71 + 5 + 22 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2671522559) and next prime (2671522561).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (2671522561) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531636 + ... + 6532044.

Almost surely, 2^2671522560 is an apocalyptic number.

2671522560 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 2671522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495866320).

2671522560 is an abundant number, since it is smaller than the sum of its proper divisors (8320210080).

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

2671522560 is an frugal number, since it uses more digits than its factorization.

2671522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2671522560 is about 51686.7735499131. The cubic root of 2671522560 is about 1387.5637604008.

The spelling of 2671522560 in words is "two billion, six hundred seventy-one million, five hundred twenty-two thousand, five hundred sixty".