2457139104 has 288 divisors, whose sum is σ = 8420751360. Its totient is φ = 694987776.

The previous prime is 2457139093. The next prime is 2457139123. The reversal of 2457139104 is 4019317542.

2457139104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5376444 + ... + 5376900.

It is an arithmetic number, because the mean of its divisors is an integer number (29238720).

Almost surely, 2^2457139104 is an apocalyptic number.

2457139104 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 2457139104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210375680).

2457139104 is an abundant number, since it is smaller than the sum of its proper divisors (5963612256).

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

2457139104 is a wasteful number, since it uses less digits than its factorization.

2457139104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2457139104 is about 49569.5380652271. The cubic root of 2457139104 is about 1349.4078983706.

The spelling of 2457139104 in words is "two billion, four hundred fifty-seven million, one hundred thirty-nine thousand, one hundred four".