2254178880 has 168 divisors, whose sum is σ = 7815754752. Its totient is φ = 596284416.

The previous prime is 2254178879. The next prime is 2254178897. The reversal of 2254178880 is 888714522.

It is a happy number.

2254178880 is a `hidden beast` number, since 22 + 541 + 7 + 8 + 8 + 80 = 666.

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 23 ways as a sum of consecutive naturals, for example, 362679 + ... + 368841.

Almost surely, 2^2254178880 is an apocalyptic number.

2254178880 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 2254178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907877376).

2254178880 is an abundant number, since it is smaller than the sum of its proper divisors (5561575872).

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

2254178880 is a wasteful number, since it uses less digits than its factorization.

2254178880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6313 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 2254178880 is about 47478.1937314384. The cubic root of 2254178880 is about 1311.1814371504.

The spelling of 2254178880 in words is "two billion, two hundred fifty-four million, one hundred seventy-eight thousand, eight hundred eighty".