2262984839280 has 240 divisors, whose sum is σ = 8301557103840. Its totient is φ = 547887513600.

The previous prime is 2262984839279. The next prime is 2262984839293. The reversal of 2262984839280 is 829384892622.

2262984839280 is a `hidden beast` number, since 2 + 2 + 62 + 9 + 8 + 483 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2262984839280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 5904700 + ... + 6276260.

It is an arithmetic number, because the mean of its divisors is an integer number (34589821266).

Almost surely, 2^{2262984839280} is an apocalyptic number.

2262984839280 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 2262984839280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150778551920).

2262984839280 is an abundant number, since it is smaller than the sum of its proper divisors (6038572264560).

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

2262984839280 is a wasteful number, since it uses less digits than its factorization.

2262984839280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372360 (or 372351 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 2262984839280 in words is "two trillion, two hundred sixty-two billion, nine hundred eighty-four million, eight hundred thirty-nine thousand, two hundred eighty".