2266913376 has 288 divisors, whose sum is σ = 8058855168. Its totient is φ = 588487680.

The previous prime is 2266913359. The next prime is 2266913401. The reversal of 2266913376 is 6733196622.

2266913376 is a `hidden beast` number, since 2 + 266 + 9 + 13 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

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, 1755291 + ... + 1756581.

It is an arithmetic number, because the mean of its divisors is an integer number (27982136).

Almost surely, 2^2266913376 is an apocalyptic number.

2266913376 is a gapful number since it is divisible by the number (26) 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 2266913376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029427584).

2266913376 is an abundant number, since it is smaller than the sum of its proper divisors (5791941792).

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

2266913376 is a wasteful number, since it uses less digits than its factorization.

2266913376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1383 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 2266913376 is about 47612.1137526995. The cubic root of 2266913376 is about 1313.6458808191.

The spelling of 2266913376 in words is "two billion, two hundred sixty-six million, nine hundred thirteen thousand, three hundred seventy-six".