2523727360 has 480 divisors, whose sum is σ = 8060912640. Its totient is φ = 748339200.

The previous prime is 2523727351. The next prime is 2523727361. The reversal of 2523727360 is 637273252.

It is a super-2 number, since 2×2523727360² = 12738399575225139200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523727361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42775011 + ... + 42775069.

It is an arithmetic number, because the mean of its divisors is an integer number (16793568).

Almost surely, 2^2523727360 is an apocalyptic number.

2523727360 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 2523727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030456320).

2523727360 is an abundant number, since it is smaller than the sum of its proper divisors (5537185280).

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

2523727360 is a wasteful number, since it uses less digits than its factorization.

2523727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The square root of 2523727360 is about 50236.7132682862. The cubic root of 2523727360 is about 1361.4890265503.

The spelling of 2523727360 in words is "two billion, five hundred twenty-three million, seven hundred twenty-seven thousand, three hundred sixty".