1992875040 has 432 divisors, whose sum is σ = 7769623680. Its totient is φ = 463656960.

The previous prime is 1992875039. The next prime is 1992875051. The reversal of 1992875040 is 405782991.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4623625 + ... + 4624055.

It is an arithmetic number, because the mean of its divisors is an integer number (17985240).

Almost surely, 2^1992875040 is an apocalyptic number.

1992875040 is a gapful number since it is divisible by the number (10) 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 1992875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884811840).

1992875040 is an abundant number, since it is smaller than the sum of its proper divisors (5776748640).

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

1992875040 is a wasteful number, since it uses less digits than its factorization.

1992875040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1992875040 is about 44641.6290025353. The cubic root of 1992875040 is about 1258.4231218573.

The spelling of 1992875040 in words is "one billion, nine hundred ninety-two million, eight hundred seventy-five thousand, forty".