2256466410 has 224 divisors, whose sum is σ = 6997648320. Its totient is φ = 517881600.

The previous prime is 2256466393. The next prime is 2256466411. The reversal of 2256466410 is 146646522.

2256466410 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 4 + 6 + 641 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2256466411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1522870 + ... + 1524350.

Almost surely, 2^2256466410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256466410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498824160).

2256466410 is an abundant number, since it is smaller than the sum of its proper divisors (4741181910).

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

2256466410 is a wasteful number, since it uses less digits than its factorization.

2256466410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2256466410 is about 47502.2779453786. The cubic root of 2256466410 is about 1311.6248140995.

The spelling of 2256466410 in words is "two billion, two hundred fifty-six million, four hundred sixty-six thousand, four hundred ten".