2257742400 has 168 divisors, whose sum is σ = 7646724864. Its totient is φ = 582604800.

The previous prime is 2257742363. The next prime is 2257742401. The reversal of 2257742400 is 42477522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2257742401) 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 23 ways as a sum of consecutive naturals, for example, 141214 + ... + 156386.

Almost surely, 2^2257742400 is an apocalyptic number.

2257742400 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 2257742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823362432).

2257742400 is an abundant number, since it is smaller than the sum of its proper divisors (5388982464).

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

2257742400 is a wasteful number, since it uses less digits than its factorization.

2257742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15229 (or 15214 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 2257742400 is about 47515.7068767792. The cubic root of 2257742400 is about 1311.8720006993.

The spelling of 2257742400 in words is "two billion, two hundred fifty-seven million, seven hundred forty-two thousand, four hundred".