2892215040 has 576 divisors, whose sum is σ = 11373143040. Its totient is φ = 616366080.

The previous prime is 2892215023. The next prime is 2892215041. The reversal of 2892215040 is 405122982.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2892214992 and 2892215010.

It is not an unprimeable number, because it can be changed into a prime (2892215041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12629646 + ... + 12629874.

It is an arithmetic number, because the mean of its divisors is an integer number (19745040).

Almost surely, 2^2892215040 is an apocalyptic number.

2892215040 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 2892215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686571520).

2892215040 is an abundant number, since it is smaller than the sum of its proper divisors (8480928000).

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

2892215040 is a wasteful number, since it uses less digits than its factorization.

2892215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2892215040 is about 53779.3179577428. The cubic root of 2892215040 is about 1424.7659474014.

The spelling of 2892215040 in words is "two billion, eight hundred ninety-two million, two hundred fifteen thousand, forty".