2254263504120 has 96 divisors (see below), whose sum is σ = 7578989402400. Its totient is φ = 580408071936.

The previous prime is 2254263504041. The next prime is 2254263504121. The reversal of 2254263504120 is 214053624522.

2254263504120 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 2 + 635 + 0 + 4 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254263504121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107952372 + ... + 107973251.

It is an arithmetic number, because the mean of its divisors is an integer number (78947806275).

Almost surely, 2^{2254263504120} is an apocalyptic number.

2254263504120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254263504120 is an abundant number, since it is smaller than the sum of its proper divisors (5324725898280).

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

2254263504120 is a wasteful number, since it uses less digits than its factorization.

2254263504120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215925669 (or 215925662 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2254263504120 in words is "two trillion, two hundred fifty-four billion, two hundred sixty-three million, five hundred four thousand, one hundred twenty".