2230764075900 has 288 divisors, whose sum is σ = 7350754521600. Its totient is φ = 580018060800.

The previous prime is 2230764075877. The next prime is 2230764075937. The reversal of 2230764075900 is 95704670322.

2230764075900 is a `hidden beast` number, since 2 + 230 + 7 + 6 + 407 + 5 + 9 + 0 + 0 = 666.

It is a super-3 number, since 3×2230764075900³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 225712359 + ... + 225722241.

It is an arithmetic number, because the mean of its divisors is an integer number (25523453200).

Almost surely, 2^{2230764075900} is an apocalyptic number.

2230764075900 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 2230764075900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675377260800).

2230764075900 is an abundant number, since it is smaller than the sum of its proper divisors (5119990445700).

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

2230764075900 is a wasteful number, since it uses less digits than its factorization.

2230764075900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11986 (or 11973 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 2230764075900 in words is "two trillion, two hundred thirty billion, seven hundred sixty-four million, seventy-five thousand, nine hundred".