2233685376 has 256 divisors, whose sum is σ = 7197120000. Its totient is φ = 677873664.

The previous prime is 2233685341. The next prime is 2233685423. The reversal of 2233685376 is 6735863322.

2233685376 is a `hidden beast` number, since 22 + 33 + 68 + 537 + 6 = 666.

It is a super-2 number, since 2×2233685376² = 9978700717912522752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728725 + ... + 3729323.

It is an arithmetic number, because the mean of its divisors is an integer number (28113750).

Almost surely, 2^2233685376 is an apocalyptic number.

2233685376 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 2233685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560000).

2233685376 is an abundant number, since it is smaller than the sum of its proper divisors (4963434624).

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

2233685376 is a wasteful number, since it uses less digits than its factorization.

2233685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 700 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 2233685376 is about 47261.8807920294. The cubic root of 2233685376 is about 1307.1958696817.

The spelling of 2233685376 in words is "two billion, two hundred thirty-three million, six hundred eighty-five thousand, three hundred seventy-six".