2642585088 has 320 divisors, whose sum is σ = 8463958272. Its totient is φ = 722042880.

The previous prime is 2642585051. The next prime is 2642585107. The reversal of 2642585088 is 8805852462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11641231 + ... + 11641457.

Almost surely, 2^2642585088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642585088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231979136).

2642585088 is an abundant number, since it is smaller than the sum of its proper divisors (5821373184).

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

2642585088 is a wasteful number, since it uses less digits than its factorization.

2642585088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The square root of 2642585088 is about 51406.0802629417. The cubic root of 2642585088 is about 1382.5356112676.

The spelling of 2642585088 in words is "two billion, six hundred forty-two million, five hundred eighty-five thousand, eighty-eight".