2254723915248 has 480 divisors, whose sum is σ = 8076984754176. Its totient is φ = 571999076352.

The previous prime is 2254723915229. The next prime is 2254723915253. The reversal of 2254723915248 is 8425193274522.

It is a happy number.

2254723915248 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 7 + 2 + 391 + 5 + 248 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2254723915194 and 2254723915203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28732161 + ... + 28810527.

Almost surely, 2^{2254723915248} is an apocalyptic number.

2254723915248 is a gapful number since it is divisible by the number (28) 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 2254723915248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038492377088).

2254723915248 is an abundant number, since it is smaller than the sum of its proper divisors (5822260838928).

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

2254723915248 is a wasteful number, since it uses less digits than its factorization.

2254723915248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78501 (or 78492 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 2254723915248 in words is "two trillion, two hundred fifty-four billion, seven hundred twenty-three million, nine hundred fifteen thousand, two hundred forty-eight".