2400120146 has 24 divisors (see below), whose sum is σ = 3841325220. Its totient is φ = 1124474112.

The previous prime is 2400120143. The next prime is 2400120157. The reversal of 2400120146 is 6410210042.

It can be written as a sum of positive squares in 6 ways, for example, as 2224159921 + 175960225 = 47161^2 + 13265^2 .

It is a super-2 number, since 2×2400120146² = 11521153430470122632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2400120143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123296 + ... + 141428.

Almost surely, 2^2400120146 is an apocalyptic number.

2400120146 is a deficient number, since it is larger than the sum of its proper divisors (1441205074).

2400120146 is a wasteful number, since it uses less digits than its factorization.

2400120146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18398 (or 18381 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2400120146 is about 48991.0210752950. The cubic root of 2400120146 is about 1338.8882413724. Note that the first 3 decimals are identical.

Adding to 2400120146 its reverse (6410210042), we get a palindrome (8810330188).

The spelling of 2400120146 in words is "two billion, four hundred million, one hundred twenty thousand, one hundred forty-six".