2413123400 has 96 divisors (see below), whose sum is σ = 5747548800. Its totient is φ = 941932800.

The previous prime is 2413123369. The next prime is 2413123439. The reversal of 2413123400 is 43213142.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1695089 + ... + 1696511.

It is an arithmetic number, because the mean of its divisors is an integer number (59870300).

Almost surely, 2^2413123400 is an apocalyptic number.

2413123400 is a gapful number since it is divisible by the number (20) 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 2413123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873774400).

2413123400 is an abundant number, since it is smaller than the sum of its proper divisors (3334425400).

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

2413123400 is a wasteful number, since it uses less digits than its factorization.

2413123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2413123400 is about 49123.5523959740. The cubic root of 2413123400 is about 1341.3018090652.

Adding to 2413123400 its reverse (43213142), we get a palindrome (2456336542).

It can be divided in two parts, 241 and 3123400, that multiplied together give a triangular number (752739400 = T₃₈₈₀₀).

The spelling of 2413123400 in words is "two billion, four hundred thirteen million, one hundred twenty-three thousand, four hundred".