2892263040 has 192 divisors, whose sum is σ = 10575194760. Its totient is φ = 725876736.

The previous prime is 2892263039. The next prime is 2892263063. The reversal of 2892263040 is 403622982.

It can be written as a sum of positive squares in 4 ways, for example, as 1725903936 + 1166359104 = 41544^2 + 34152^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2892262986 and 2892263004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 83152 + ... + 112688.

Almost surely, 2^2892263040 is an apocalyptic number.

2892263040 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 2892263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287597380).

2892263040 is an abundant number, since it is smaller than the sum of its proper divisors (7682931720).

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

2892263040 is a wasteful number, since it uses less digits than its factorization.

2892263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29579 (or 29564 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2892263040 is about 53779.7642241020. The cubic root of 2892263040 is about 1424.7738292942.

The spelling of 2892263040 in words is "two billion, eight hundred ninety-two million, two hundred sixty-three thousand, forty".