2257908480 has 288 divisors, whose sum is σ = 8123673600. Its totient is φ = 593768448.

The previous prime is 2257908449. The next prime is 2257908487. The reversal of 2257908480 is 848097522.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (2257908487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2729827 + ... + 2730653.

It is an arithmetic number, because the mean of its divisors is an integer number (28207200).

Almost surely, 2^2257908480 is an apocalyptic number.

2257908480 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 2257908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061836800).

2257908480 is an abundant number, since it is smaller than the sum of its proper divisors (5865765120).

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

2257908480 is an equidigital number, since it uses as much as digits as its factorization.

2257908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2257908480 is about 47517.4544772760. The cubic root of 2257908480 is about 1311.9041671029.

It can be divided in two parts, 225790 and 8480, that added together give a triangular number (234270 = T₆₈₄).

The spelling of 2257908480 in words is "two billion, two hundred fifty-seven million, nine hundred eight thousand, four hundred eighty".