2270677038336 has 432 divisors, whose sum is σ = 7939829241344. Its totient is φ = 633672087552.

The previous prime is 2270677038319. The next prime is 2270677038341. The reversal of 2270677038336 is 6338307760722.

2270677038336 is a `hidden beast` number, since 2 + 270 + 6 + 7 + 7 + 0 + 38 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×2270677038336³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18663975 + ... + 18785241.

Almost surely, 2^{2270677038336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270677038336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969914620672).

2270677038336 is an abundant number, since it is smaller than the sum of its proper divisors (5669152203008).

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

2270677038336 is an equidigital number, since it uses as much as digits as its factorization.

2270677038336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121348 (or 121322 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 2270677038336 in words is "two trillion, two hundred seventy billion, six hundred seventy-seven million, thirty-eight thousand, three hundred thirty-six".