2400274944 has 200 divisors, whose sum is σ = 7399252608. Its totient is φ = 773867520.

The previous prime is 2400274901. The next prime is 2400274969. The reversal of 2400274944 is 4494720042.

It is a super-2 number, since 2×2400274944² = 11522639613588406272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2400274899 and 2400274908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1284699 + ... + 1286565.

Almost surely, 2^2400274944 is an apocalyptic number.

2400274944 is a gapful number since it is divisible by the number (24) 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 2400274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699626304).

2400274944 is an abundant number, since it is smaller than the sum of its proper divisors (4998977664).

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

2400274944 is an equidigital number, since it uses as much as digits as its factorization.

2400274944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2400274944 is about 48992.6009107498. The cubic root of 2400274944 is about 1338.9170250379.

Adding to 2400274944 its reverse (4494720042), we get a palindrome (6894994986).

The spelling of 2400274944 in words is "two billion, four hundred million, two hundred seventy-four thousand, nine hundred forty-four".