1024992240 has 320 divisors, whose sum is σ = 3621196800. Its totient is φ = 238436352.

The previous prime is 1024992229. The next prime is 1024992253. The reversal of 1024992240 is 422994201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3041352 + ... + 3041688.

It is an arithmetic number, because the mean of its divisors is an integer number (11316240).

Almost surely, 2^1024992240 is an apocalyptic number.

1024992240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 32015×32016.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024992240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810598400).

1024992240 is an abundant number, since it is smaller than the sum of its proper divisors (2596204560).

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

1024992240 is a wasteful number, since it uses less digits than its factorization.

1024992240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1024992240 is about 32015.4999960956. The cubic root of 1024992240 is about 1008.2622931684.

The spelling of 1024992240 in words is "one billion, twenty-four million, nine hundred ninety-two thousand, two hundred forty".