4002500000 has 96 divisors (see below), whose sum is σ = 9856029456. Its totient is φ = 1600000000.

The previous prime is 4002499981. The next prime is 4002500027. The reversal of 4002500000 is 52004.

It can be written as a sum of positive squares in 8 ways, for example, as 2511613456 + 1490886544 = 50116^2 + 38612^2 .

It is a sliding number, since 4002500000 = 2500000 + 4000000000 and 1/2500000 + 1/4000000000 = 0.0000004002500000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2499200 + ... + 2500800.

Almost surely, 2^4002500000 is an apocalyptic number.

4002500000 is a gapful number since it is divisible by the number (40) 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 4002500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928014728).

4002500000 is an abundant number, since it is smaller than the sum of its proper divisors (5853529456).

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

4002500000 is an frugal number, since it uses more digits than its factorization.

4002500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 4002500000 is about 63265.3143515465. The cubic root of 4002500000 is about 1587.7316916470.

Adding to 4002500000 its reverse (52004), we get a palindrome (4002552004).

It can be divided in two parts, 400 and 2500000, that multiplied together give a 9-th power (1000000000 = 10⁹).

The spelling of 4002500000 in words is "four billion, two million, five hundred thousand".