2413400010 has 128 divisors (see below), whose sum is σ = 6899558400. Its totient is φ = 528595200.

The previous prime is 2413399991. The next prime is 2413400021. The reversal of 2413400010 is 100043142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 845085 + ... + 847935.

It is an arithmetic number, because the mean of its divisors is an integer number (53902800).

Almost surely, 2^2413400010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413400010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449779200).

2413400010 is an abundant number, since it is smaller than the sum of its proper divisors (4486158390).

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

2413400010 is a wasteful number, since it uses less digits than its factorization.

2413400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2413400010 is about 49126.3677672185. The cubic root of 2413400010 is about 1341.3530570754.

Adding to 2413400010 its reverse (100043142), we get a palindrome (2513443152).

The spelling of 2413400010 in words is "two billion, four hundred thirteen million, four hundred thousand, ten".