2254836480 has 288 divisors, whose sum is σ = 8214623424. Its totient is φ = 522190848.

The previous prime is 2254836469. The next prime is 2254836503. The reversal of 2254836480 is 846384522.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847312 + ... + 849968.

It is an arithmetic number, because the mean of its divisors is an integer number (28522998).

Almost surely, 2^2254836480 is an apocalyptic number.

2254836480 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 2254836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107311712).

2254836480 is an abundant number, since it is smaller than the sum of its proper divisors (5959786944).

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

2254836480 is a wasteful number, since it uses less digits than its factorization.

2254836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2254836480 is about 47485.1185109609. The cubic root of 2254836480 is about 1311.3089261575.

The spelling of 2254836480 in words is "two billion, two hundred fifty-four million, eight hundred thirty-six thousand, four hundred eighty".