2400100000 has 72 divisors (see below), whose sum is σ = 5906364156. Its totient is φ = 960000000.

The previous prime is 2400099991. The next prime is 2400100037. The reversal of 2400100000 is 10042.

It can be written as a sum of positive squares in 6 ways, for example, as 501580816 + 1898519184 = 22396^2 + 43572^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88000 + ... + 112000.

Almost surely, 2^2400100000 is an apocalyptic number.

2400100000 is a gapful number since it is divisible by the number (20) 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 2400100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953182078).

2400100000 is an abundant number, since it is smaller than the sum of its proper divisors (3506264156).

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

2400100000 is an frugal number, since it uses more digits than its factorization.

2400100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24036 (or 24008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2400100000 is about 48990.8154657585. The cubic root of 2400100000 is about 1338.8844952658.

Adding to 2400100000 its reverse (10042), we get a palindrome (2400110042).

It can be divided in two parts, 2400 and 100000, that added together give a square (102400 = 320²).

The spelling of 2400100000 in words is "two billion, four hundred million, one hundred thousand".