2257377536 has 108 divisors (see below), whose sum is σ = 4875307920. Its totient is φ = 1040256000.

The previous prime is 2257377509. The next prime is 2257377539. The reversal of 2257377536 is 6357737522.

Its product of digits (1852200) is a multiple of the sum of its prime divisors (315).

It is not an unprimeable number, because it can be changed into a prime (2257377539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8993411 + ... + 8993661.

It is an arithmetic number, because the mean of its divisors is an integer number (45141740).

Almost surely, 2^2257377536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257377536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437653960).

2257377536 is an abundant number, since it is smaller than the sum of its proper divisors (2617930384).

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

2257377536 is an equidigital number, since it uses as much as digits as its factorization.

2257377536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 315 counting only the distinct ones).

The product of its digits is 1852200, while the sum is 47.

The square root of 2257377536 is about 47511.8673175450. The cubic root of 2257377536 is about 1311.8013282358.

The spelling of 2257377536 in words is "two billion, two hundred fifty-seven million, three hundred seventy-seven thousand, five hundred thirty-six".