2093264640 has 288 divisors, whose sum is σ = 7633604160. Its totient is φ = 542785536.

The previous prime is 2093264633. The next prime is 2093264687. The reversal of 2093264640 is 464623902.

2093264640 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 2 + 6 + 4 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2093264595 and 2093264604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1277902 + ... + 1279538.

It is an arithmetic number, because the mean of its divisors is an integer number (26505570).

Almost surely, 2^2093264640 is an apocalyptic number.

2093264640 is a gapful number since it is divisible by the number (20) 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 2093264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816802080).

2093264640 is an abundant number, since it is smaller than the sum of its proper divisors (5540339520).

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

2093264640 is a wasteful number, since it uses less digits than its factorization.

2093264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2093264640 is about 45752.2091269919. The cubic root of 2093264640 is about 1279.2086254078.

The spelling of 2093264640 in words is "two billion, ninety-three million, two hundred sixty-four thousand, six hundred forty".