2270762730000 has 300 divisors, whose sum is σ = 7982392363660. Its totient is φ = 602394624000.

The previous prime is 2270762729951. The next prime is 2270762730031. The reversal of 2270762730000 is 372670722.

2270762730000 is a `hidden beast` number, since 2 + 27 + 0 + 7 + 627 + 3 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1906951093776 + 363811636224 = 1380924^2 + 603168^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×2270762730000³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17304636 + ... + 17435364.

Almost surely, 2^{2270762730000} is an apocalyptic number.

2270762730000 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 2270762730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991196181830).

2270762730000 is an abundant number, since it is smaller than the sum of its proper divisors (5711629633660).

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

2270762730000 is a wasteful number, since it uses less digits than its factorization.

2270762730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130956 (or 130932 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 2270762730000 in words is "two trillion, two hundred seventy billion, seven hundred sixty-two million, seven hundred thirty thousand".