2400414412 has 48 divisors (see below), whose sum is σ = 4799676672. Its totient is φ = 1039769280.

The previous prime is 2400414391. The next prime is 2400414421. The reversal of 2400414412 is 2144140042.

2400414412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276043 + ... + 284605.

It is an arithmetic number, because the mean of its divisors is an integer number (99993264).

Almost surely, 2^2400414412 is an apocalyptic number.

2400414412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2400414412 is a deficient number, since it is larger than the sum of its proper divisors (2399262260).

2400414412 is a wasteful number, since it uses less digits than its factorization.

2400414412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8878 (or 8876 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 2400414412 is about 48994.0242478611. The cubic root of 2400414412 is about 1338.9429571315.

Adding to 2400414412 its reverse (2144140042), we get a palindrome (4544554454).

It can be divided in two parts, 24004 and 14412, that added together give a 4-th power (38416 = 14⁴).

The spelling of 2400414412 in words is "two billion, four hundred million, four hundred fourteen thousand, four hundred twelve".