2273258131200 has 1080 divisors, whose sum is σ = 10111910990720. Its totient is φ = 492239462400.

The previous prime is 2273258131141. The next prime is 2273258131259. The reversal of 2273258131200 is 21318523722.

2273258131200 is a `hidden beast` number, since 2 + 2 + 73 + 2 + 581 + 3 + 1 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2273258131141) and next prime (2273258131259).

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68930715 + ... + 68963685.

Almost surely, 2^{2273258131200} is an apocalyptic number.

2273258131200 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 2273258131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055955495360).

2273258131200 is an abundant number, since it is smaller than the sum of its proper divisors (7838652859520).

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

2273258131200 is a wasteful number, since it uses less digits than its factorization.

2273258131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33035 (or 33007 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 2273258131200 in words is "two trillion, two hundred seventy-three billion, two hundred fifty-eight million, one hundred thirty-one thousand, two hundred".