2892730240 has 128 divisors (see below), whose sum is σ = 7596633600. Its totient is φ = 1048430592.

The previous prime is 2892730237. The next prime is 2892730241. The reversal of 2892730240 is 420372982.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2892730240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2892730241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274509 + ... + 284851.

It is an arithmetic number, because the mean of its divisors is an integer number (59348700).

Almost surely, 2^2892730240 is an apocalyptic number.

2892730240 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 2892730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798316800).

2892730240 is an abundant number, since it is smaller than the sum of its proper divisors (4703903360).

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

2892730240 is a wasteful number, since it uses less digits than its factorization.

2892730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10404 (or 10392 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 2892730240 is about 53784.1076899115. The cubic root of 2892730240 is about 1424.8505418298.

The spelling of 2892730240 in words is "two billion, eight hundred ninety-two million, seven hundred thirty thousand, two hundred forty".