2293496064 has 216 divisors, whose sum is σ = 6902767872. Its totient is φ = 731566080.

The previous prime is 2293496047. The next prime is 2293496071. The reversal of 2293496064 is 4606943922.

2293496064 is a `hidden beast` number, since 2 + 2 + 9 + 34 + 9 + 606 + 4 = 666.

It is a super-3 number, since 3×2293496064³ (a number of 29 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 11642014 + ... + 11642210.

Almost surely, 2^2293496064 is an apocalyptic number.

2293496064 is a gapful number since it is divisible by the number (24) 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 2293496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3451383936).

2293496064 is an abundant number, since it is smaller than the sum of its proper divisors (4609271808).

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

2293496064 is a wasteful number, since it uses less digits than its factorization.

2293496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 2293496064 is about 47890.4590080321. The cubic root of 2293496064 is about 1318.7607101277.

The spelling of 2293496064 in words is "two billion, two hundred ninety-three million, four hundred ninety-six thousand, sixty-four".