2253258483840 has 2048 divisors, whose sum is σ = 10117094400000. Its totient is φ = 461370359808.

The previous prime is 2253258483797. The next prime is 2253258483857. The reversal of 2253258483840 is 483848523522.

2253258483840 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 258 + 4 + 8 + 384 + 0 = 666.

It is a super-2 number, since 2×2253258483840² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13823671599 + ... + 13823671761.

It is an arithmetic number, because the mean of its divisors is an integer number (4939987500).

Almost surely, 2^{2253258483840} is an apocalyptic number.

2253258483840 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 2253258483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058547200000).

2253258483840 is an abundant number, since it is smaller than the sum of its proper divisors (7863835916160).

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

2253258483840 is a wasteful number, since it uses less digits than its factorization.

2253258483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 2253258483840 in words is "two trillion, two hundred fifty-three billion, two hundred fifty-eight million, four hundred eighty-three thousand, eight hundred forty".