2400400034 has 16 divisors (see below), whose sum is σ = 3816050616. Its totient is φ = 1128518400.

The previous prime is 2400400031. The next prime is 2400400087. The reversal of 2400400034 is 4300040042.

It can be written as a sum of positive squares in 4 ways, for example, as 2393655625 + 6744409 = 48925^2 + 2597^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 2400399985 and 2400400021.

It is not an unprimeable number, because it can be changed into a prime (2400400031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2804 + ... + 69344.

Almost surely, 2^2400400034 is an apocalyptic number.

2400400034 is a deficient number, since it is larger than the sum of its proper divisors (1415650582).

2400400034 is a wasteful number, since it uses less digits than its factorization.

2400400034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67621.

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2400400034 is about 48993.8775154611. The cubic root of 2400400034 is about 1338.9402837930.

Adding to 2400400034 its reverse (4300040042), we get a palindrome (6700440076).

The spelling of 2400400034 in words is "two billion, four hundred million, four hundred thousand, thirty-four".