2638774160 has 80 divisors (see below), whose sum is σ = 6708267072. Its totient is φ = 957350400.

The previous prime is 2638774141. The next prime is 2638774189. The reversal of 2638774160 is 614778362.

2638774160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 51369²-1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 407750 + ... + 414170.

Almost surely, 2^2638774160 is an apocalyptic number.

2638774160 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 2638774160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354133536).

2638774160 is an abundant number, since it is smaller than the sum of its proper divisors (4069492912).

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

2638774160 is a wasteful number, since it uses less digits than its factorization.

2638774160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 2638774160 is about 51368.9999902665. Note that the first 5 decimals coincide. The cubic root of 2638774160 is about 1381.8706968940.

The spelling of 2638774160 in words is "two billion, six hundred thirty-eight million, seven hundred seventy-four thousand, one hundred sixty".