2264693760 has 792 divisors, whose sum is σ = 9829038960. Its totient is φ = 478937088.

The previous prime is 2264693759. The next prime is 2264693773. The reversal of 2264693760 is 673964622.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38384611 + ... + 38384669.

Almost surely, 2^2264693760 is an apocalyptic number.

2264693760 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 2264693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914519480).

2264693760 is an abundant number, since it is smaller than the sum of its proper divisors (7564345200).

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

2264693760 is a wasteful number, since it uses less digits than its factorization.

2264693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2264693760 is about 47588.7986820428. The cubic root of 2264693760 is about 1313.2169949140.

The spelling of 2264693760 in words is "two billion, two hundred sixty-four million, six hundred ninety-three thousand, seven hundred sixty".