2257251840 has 480 divisors, whose sum is σ = 8592708960. Its totient is φ = 561512448.

The previous prime is 2257251827. The next prime is 2257251973. The reversal of 2257251840 is 481527522.

It is a happy number.

2257251840 is a `hidden beast` number, since 2 + 2 + 572 + 5 + 1 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2257251795 and 2257251804.

It is a congruent number.

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, 19975624 + ... + 19975736.

It is an arithmetic number, because the mean of its divisors is an integer number (17901477).

Almost surely, 2^2257251840 is an apocalyptic number.

2257251840 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 2257251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296354480).

2257251840 is an abundant number, since it is smaller than the sum of its proper divisors (6335457120).

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

2257251840 is a wasteful number, since it uses less digits than its factorization.

2257251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2257251840 is about 47510.5445138235. The cubic root of 2257251840 is about 1311.7769797403.

The spelling of 2257251840 in words is "two billion, two hundred fifty-seven million, two hundred fifty-one thousand, eight hundred forty".