2400011000 has 64 divisors (see below), whose sum is σ = 5809752000. Its totient is φ = 926889600.

The previous prime is 2400010997. The next prime is 2400011017. The reversal of 2400011000 is 1100042.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 12380 + ... + 70379.

It is an arithmetic number, because the mean of its divisors is an integer number (90777375).

Almost surely, 2^2400011000 is an apocalyptic number.

2400011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400011000 is an abundant number, since it is smaller than the sum of its proper divisors (3409741000).

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

2400011000 is a wasteful number, since it uses less digits than its factorization.

2400011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82809 (or 82795 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2400011000 is about 48989.9071238148. The cubic root of 2400011000 is about 1338.8679456508.

Adding to 2400011000 its reverse (1100042), we get a palindrome (2401111042).

The spelling of 2400011000 in words is "two billion, four hundred million, eleven thousand".