2285762793120 has 144 divisors (see below), whose sum is σ = 7801704571752. Its totient is φ = 609416478720.

The previous prime is 2285762793109. The next prime is 2285762793121. The reversal of 2285762793120 is 213972675822.

2285762793120 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 7 + 627 + 9 + 3 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2285454579984 + 308213136 = 1511772^2 + 17556^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2285762793121) 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, 7266300 + ... + 7574340.

Almost surely, 2^{2285762793120} is an apocalyptic number.

2285762793120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2285762793120 is an abundant number, since it is smaller than the sum of its proper divisors (5515941778632).

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

2285762793120 is a wasteful number, since it uses less digits than its factorization.

2285762793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313215 (or 313204 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2285762793120 in words is "two trillion, two hundred eighty-five billion, seven hundred sixty-two million, seven hundred ninety-three thousand, one hundred twenty".