2644125120 has 1120 divisors, whose sum is σ = 12391948800. Its totient is φ = 519561216.

The previous prime is 2644125097. The next prime is 2644125131. The reversal of 2644125120 is 215214462.

2644125120 is a `hidden beast` number, since 2 + 644 + 1 + 2 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 44815651 + ... + 44815709.

It is an arithmetic number, because the mean of its divisors is an integer number (11064240).

Almost surely, 2^2644125120 is an apocalyptic number.

2644125120 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 2644125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6195974400).

2644125120 is an abundant number, since it is smaller than the sum of its proper divisors (9747823680).

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

2644125120 is a wasteful number, since it uses less digits than its factorization.

2644125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2644125120 is about 51421.0571653287. The cubic root of 2644125120 is about 1382.8041280849.

Adding to 2644125120 its reverse (215214462), we get a palindrome (2859339582).

The spelling of 2644125120 in words is "two billion, six hundred forty-four million, one hundred twenty-five thousand, one hundred twenty".