2253395456 has 160 divisors (see below), whose sum is σ = 5111006208. Its totient is φ = 985374720.

The previous prime is 2253395453. The next prime is 2253395461. The reversal of 2253395456 is 6545933522.

It is a super-2 number, since 2×2253395456² = 10155582162242895872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253395453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13824431 + ... + 13824593.

Almost surely, 2^2253395456 is an apocalyptic number.

2253395456 is a gapful number since it is divisible by the number (26) 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 2253395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555503104).

2253395456 is an abundant number, since it is smaller than the sum of its proper divisors (2857610752).

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

2253395456 is a wasteful number, since it uses less digits than its factorization.

2253395456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its digits is 972000, while the sum is 44.

The square root of 2253395456 is about 47469.9426584865. The cubic root of 2253395456 is about 1311.0295222576.

The spelling of 2253395456 in words is "two billion, two hundred fifty-three million, three hundred ninety-five thousand, four hundred fifty-six".