2270038680 has 576 divisors, whose sum is σ = 9747410400. Its totient is φ = 452874240.

The previous prime is 2270038657. The next prime is 2270038711. The reversal of 2270038680 is 868300722.

It is a happy number.

2270038680 is a `hidden beast` number, since 2 + 270 + 0 + 386 + 8 + 0 = 666.

It is a super-2 number, since 2×2270038680² = 10306151217392284800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4356820 + ... + 4357340.

Almost surely, 2^2270038680 is an apocalyptic number.

2270038680 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 2270038680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873705200).

2270038680 is an abundant number, since it is smaller than the sum of its proper divisors (7477371720).

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

2270038680 is a wasteful number, since it uses less digits than its factorization.

2270038680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2270038680 is about 47644.9229194465. The cubic root of 2270038680 is about 1314.2492941794.

The spelling of 2270038680 in words is "two billion, two hundred seventy million, thirty-eight thousand, six hundred eighty".