2590655360 has 64 divisors (see below), whose sum is σ = 6294909600. Its totient is φ = 1019258880.

The previous prime is 2590655329. The next prime is 2590655363. The reversal of 2590655360 is 635560952.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2590655360² = 13422990388593459200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590655363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5861 + ... + 72219.

Almost surely, 2^2590655360 is an apocalyptic number.

2590655360 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 2590655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3147454800).

2590655360 is an abundant number, since it is smaller than the sum of its proper divisors (3704254240).

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

2590655360 is an equidigital number, since it uses as much as digits as its factorization.

2590655360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66439 (or 66427 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 41.

The square root of 2590655360 is about 50898.4809203575. The cubic root of 2590655360 is about 1373.4195147057.

The spelling of 2590655360 in words is "two billion, five hundred ninety million, six hundred fifty-five thousand, three hundred sixty".