2456801280 has 260 divisors, whose sum is σ = 8812959012. Its totient is φ = 654704640.

The previous prime is 2456801279. The next prime is 2456801299. The reversal of 2456801280 is 821086542.

2456801280 is a `hidden beast` number, since 2 + 4 + 568 + 0 + 12 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 967458816 + 1489342464 = 31104^2 + 38592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1658140 + ... + 1659620.

Almost surely, 2^2456801280 is an apocalyptic number.

2456801280 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 2456801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406479506).

2456801280 is an abundant number, since it is smaller than the sum of its proper divisors (6356157732).

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

2456801280 is an equidigital number, since it uses as much as digits as its factorization.

2456801280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2456801280 is about 49566.1303714543. The cubic root of 2456801280 is about 1349.3460536468.

The spelling of 2456801280 in words is "two billion, four hundred fifty-six million, eight hundred one thousand, two hundred eighty".