2400312000 has 224 divisors, whose sum is σ = 8011021824. Its totient is φ = 633216000.

The previous prime is 2400311911. The next prime is 2400312007. The reversal of 2400312000 is 2130042.

It is a super-2 number, since 2×2400312000² = 11522995394688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2400312007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2471515 + ... + 2472485.

Almost surely, 2^2400312000 is an apocalyptic number.

2400312000 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 2400312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005510912).

2400312000 is an abundant number, since it is smaller than the sum of its proper divisors (5610709824).

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

2400312000 is a wasteful number, since it uses less digits than its factorization.

2400312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2400312000 is about 48992.9790888450. The cubic root of 2400312000 is about 1338.9239151728.

Adding to 2400312000 its reverse (2130042), we get a palindrome (2402442042).

The spelling of 2400312000 in words is "two billion, four hundred million, three hundred twelve thousand".