2400785000 has 40 divisors (see below), whose sum is σ = 5625050970. Its totient is φ = 960312000.

The previous prime is 2400784963. The next prime is 2400785003. The reversal of 2400785000 is 5870042.

It can be written as a sum of positive squares in 5 ways, for example, as 64609444 + 2336175556 = 8038^2 + 48334^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2400785003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 235079 + ... + 245078.

Almost surely, 2^2400785000 is an apocalyptic number.

2400785000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400785000 is an abundant number, since it is smaller than the sum of its proper divisors (3224265970).

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

2400785000 is an equidigital number, since it uses as much as digits as its factorization.

2400785000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480183 (or 480164 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2400785000 is about 48997.8060733335. The cubic root of 2400785000 is about 1339.0118578259.

The spelling of 2400785000 in words is "two billion, four hundred million, seven hundred eighty-five thousand".