2623557504 has 128 divisors (see below), whose sum is σ = 7410977280. Its totient is φ = 819486720.

The previous prime is 2623557493. The next prime is 2623557511. The reversal of 2623557504 is 4057553262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1768347 + ... + 1769829.

It is an arithmetic number, because the mean of its divisors is an integer number (57898260).

Almost surely, 2^2623557504 is an apocalyptic number.

2623557504 is a gapful number since it is divisible by the number (24) 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 2623557504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705488640).

2623557504 is an abundant number, since it is smaller than the sum of its proper divisors (4787419776).

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

2623557504 is a wasteful number, since it uses less digits than its factorization.

2623557504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 2623557504 is about 51220.6745758000. The cubic root of 2623557504 is about 1379.2093601718.

The spelling of 2623557504 in words is "two billion, six hundred twenty-three million, five hundred fifty-seven thousand, five hundred four".