2653262560 has 96 divisors (see below), whose sum is σ = 6800516352. Its totient is φ = 972410880.

The previous prime is 2653262551. The next prime is 2653262567. The reversal of 2653262560 is 652623562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2653262567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280305 + ... + 289615.

It is an arithmetic number, because the mean of its divisors is an integer number (70838712).

Almost surely, 2^2653262560 is an apocalyptic number.

2653262560 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 2653262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400258176).

2653262560 is an abundant number, since it is smaller than the sum of its proper divisors (4147253792).

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

2653262560 is a wasteful number, since it uses less digits than its factorization.

2653262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9476 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 2653262560 is about 51509.8297415163. The cubic root of 2653262560 is about 1384.3951726649.

The spelling of 2653262560 in words is "two billion, six hundred fifty-three million, two hundred sixty-two thousand, five hundred sixty".