2240892864 has 280 divisors, whose sum is σ = 7801518560. Its totient is φ = 622577664.

The previous prime is 2240892853. The next prime is 2240892869. The reversal of 2240892864 is 4682980422.

It is a super-2 number, since 2×2240892864² = 10043201655852244992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240892869) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1341822 + ... + 1343490.

Almost surely, 2^2240892864 is an apocalyptic number.

2240892864 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 2240892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900759280).

2240892864 is an abundant number, since it is smaller than the sum of its proper divisors (5560625696).

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

2240892864 is a wasteful number, since it uses less digits than its factorization.

2240892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2240892864 is about 47338.0699226320. The cubic root of 2240892864 is about 1308.6003472530.

The spelling of 2240892864 in words is "two billion, two hundred forty million, eight hundred ninety-two thousand, eight hundred sixty-four".