2445785280 has 336 divisors, whose sum is σ = 8866900224. Its totient is φ = 641571840.

The previous prime is 2445785263. The next prime is 2445785297. The reversal of 2445785280 is 825875442.

2445785280 is a `hidden beast` number, since 24 + 4 + 578 + 52 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2445785263) and next prime (2445785297).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5520739 + ... + 5521181.

It is an arithmetic number, because the mean of its divisors is an integer number (26389584).

Almost surely, 2^2445785280 is an apocalyptic number.

2445785280 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 2445785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433450112).

2445785280 is an abundant number, since it is smaller than the sum of its proper divisors (6421114944).

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

2445785280 is an equidigital number, since it uses as much as digits as its factorization.

2445785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 2445785280 is about 49454.8812555444. The cubic root of 2445785280 is about 1347.3262635950.

The spelling of 2445785280 in words is "two billion, four hundred forty-five million, seven hundred eighty-five thousand, two hundred eighty".