2292675840 has 720 divisors, whose sum is σ = 10138305408. Its totient is φ = 483729408.

The previous prime is 2292675829. The next prime is 2292675841. The reversal of 2292675840 is 485762922.

2292675840 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 67 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2292675841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 176359674 + ... + 176359686.

Almost surely, 2^2292675840 is an apocalyptic number.

2292675840 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 2292675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069152704).

2292675840 is an abundant number, since it is smaller than the sum of its proper divisors (7845629568).

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

2292675840 is an frugal number, since it uses more digits than its factorization.

2292675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2292675840 is about 47881.8946993537. The cubic root of 2292675840 is about 1318.6034817265.

The spelling of 2292675840 in words is "two billion, two hundred ninety-two million, six hundred seventy-five thousand, eight hundred forty".