2257762248 has 640 divisors, whose sum is σ = 8530790400. Its totient is φ = 541956096.

The previous prime is 2257762223. The next prime is 2257762249. The reversal of 2257762248 is 8422677522.

It is not an unprimeable number, because it can be changed into a prime (2257762249) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33697911 + ... + 33697977.

It is an arithmetic number, because the mean of its divisors is an integer number (13329360).

Almost surely, 2^2257762248 is an apocalyptic number.

2257762248 is a gapful number since it is divisible by the number (28) 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 2257762248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265395200).

2257762248 is an abundant number, since it is smaller than the sum of its proper divisors (6273028152).

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

2257762248 is a wasteful number, since it uses less digits than its factorization.

2257762248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 2257762248 is about 47515.9157335729. The cubic root of 2257762248 is about 1311.8758449465.

The spelling of 2257762248 in words is "two billion, two hundred fifty-seven million, seven hundred sixty-two thousand, two hundred forty-eight".