2892464640 has 800 divisors, whose sum is σ = 11853460080. Its totient is φ = 668860416.

The previous prime is 2892464623. The next prime is 2892464671. The reversal of 2892464640 is 464642982.

It can be written as a sum of positive squares in 8 ways, for example, as 1369592064 + 1522872576 = 37008^2 + 39024^2 .

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

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 79 ways as a sum of consecutive naturals, for example, 78174702 + ... + 78174738.

Almost surely, 2^2892464640 is an apocalyptic number.

2892464640 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 2892464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926730040).

2892464640 is an abundant number, since it is smaller than the sum of its proper divisors (8960995440).

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

2892464640 is a wasteful number, since it uses less digits than its factorization.

2892464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2892464640 is about 53781.6385023737. The cubic root of 2892464640 is about 1424.8069322919.

The spelling of 2892464640 in words is "two billion, eight hundred ninety-two million, four hundred sixty-four thousand, six hundred forty".