1002920000 has 70 divisors (see below), whose sum is σ = 2487014838. Its totient is φ = 401152000.

The previous prime is 1002919993. The next prime is 1002920047. The reversal of 1002920000 is 292001.

It can be written as a sum of positive squares in 5 ways, for example, as 443692096 + 559227904 = 21064^2 + 23648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27464 + ... + 52536.

Almost surely, 2^1002920000 is an apocalyptic number.

1002920000 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 1002920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243507419).

1002920000 is an abundant number, since it is smaller than the sum of its proper divisors (1484094838).

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

1002920000 is an frugal number, since it uses more digits than its factorization.

1002920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25105 (or 25080 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1002920000 is about 31668.9122010845. The cubic root of 1002920000 is about 1000.9723874894.

The spelling of 1002920000 in words is "one billion, two million, nine hundred twenty thousand".