2456366080 has 132 divisors (see below), whose sum is σ = 6855124608. Its totient is φ = 842096640.

The previous prime is 2456366071. The next prime is 2456366111. The reversal of 2456366080 is 806636542.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245985 + ... + 255775.

Almost surely, 2^2456366080 is an apocalyptic number.

2456366080 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 2456366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427562304).

2456366080 is an abundant number, since it is smaller than the sum of its proper divisors (4398758528).

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

2456366080 is an equidigital number, since it uses as much as digits as its factorization.

2456366080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9830 (or 9805 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 2456366080 is about 49561.7400824467. The cubic root of 2456366080 is about 1349.2663741485.

The spelling of 2456366080 in words is "two billion, four hundred fifty-six million, three hundred sixty-six thousand, eighty".