2400023136 has 192 divisors, whose sum is σ = 7668864000. Its totient is φ = 655699968.

The previous prime is 2400023107. The next prime is 2400023137. The reversal of 2400023136 is 6313200042.

It is a happy number.

It is a super-2 number, since 2×2400023136² = 11520222106670548992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400023137) 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, 755760 + ... + 758928.

It is an arithmetic number, because the mean of its divisors is an integer number (39942000).

Almost surely, 2^2400023136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400023136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834432000).

2400023136 is an abundant number, since it is smaller than the sum of its proper divisors (5268840864).

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

2400023136 is a wasteful number, since it uses less digits than its factorization.

2400023136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3204 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2400023136 is about 48990.0309859057. The cubic root of 2400023136 is about 1338.8702023729.

Adding to 2400023136 its reverse (6313200042), we get a palindrome (8713223178).

The spelling of 2400023136 in words is "two billion, four hundred million, twenty-three thousand, one hundred thirty-six".