2257204104 has 128 divisors (see below), whose sum is σ = 6988464000. Its totient is φ = 670851072.

The previous prime is 2257204091. The next prime is 2257204127. The reversal of 2257204104 is 4014027522.

2257204104 is a `hidden beast` number, since 225 + 7 + 20 + 410 + 4 = 666.

It is a super-2 number, since 2×2257204104² = 10189940734228885632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53592 + ... + 85944.

It is an arithmetic number, because the mean of its divisors is an integer number (54597375).

Almost surely, 2^2257204104 is an apocalyptic number.

2257204104 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 2257204104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494232000).

2257204104 is an abundant number, since it is smaller than the sum of its proper divisors (4731259896).

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

2257204104 is a wasteful number, since it uses less digits than its factorization.

2257204104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32404 (or 32394 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2257204104 is about 47510.0421384785. The cubic root of 2257204104 is about 1311.7677325920.

The spelling of 2257204104 in words is "two billion, two hundred fifty-seven million, two hundred four thousand, one hundred four".