2638725120 has 240 divisors, whose sum is σ = 9389711520. Its totient is φ = 703070208.

The previous prime is 2638725113. The next prime is 2638725137. The reversal of 2638725120 is 215278362.

2638725120 is a `hidden beast` number, since 2 + 6 + 387 + 251 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 2211244 + ... + 2212436.

It is an arithmetic number, because the mean of its divisors is an integer number (39123798).

Almost surely, 2^2638725120 is an apocalyptic number.

2638725120 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 2638725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694855760).

2638725120 is an abundant number, since it is smaller than the sum of its proper divisors (6750986400).

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

2638725120 is an equidigital number, since it uses as much as digits as its factorization.

2638725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2638725120 is about 51368.5226573628. The cubic root of 2638725120 is about 1381.8621364344.

The spelling of 2638725120 in words is "two billion, six hundred thirty-eight million, seven hundred twenty-five thousand, one hundred twenty".