2292887040 has 160 divisors (see below), whose sum is σ = 7529116320. Its totient is φ = 594837504.

The previous prime is 2292887039. The next prime is 2292887071. The reversal of 2292887040 is 407882922.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 2292886983 and 2292887001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280126 + ... + 288194.

It is an arithmetic number, because the mean of its divisors is an integer number (47056977).

Almost surely, 2^2292887040 is an apocalyptic number.

2292887040 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 2292887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764558160).

2292887040 is an abundant number, since it is smaller than the sum of its proper divisors (5236229280).

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

2292887040 is an equidigital number, since it uses as much as digits as its factorization.

2292887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2292887040 is about 47884.1000750771. The cubic root of 2292887040 is about 1318.6439701520.

It can be divided in two parts, 229288 and 7040, that added together give a triangular number (236328 = T₆₈₇).

The spelling of 2292887040 in words is "two billion, two hundred ninety-two million, eight hundred eighty-seven thousand, forty".