2413279800 has 144 divisors (see below), whose sum is σ = 8124189840. Its totient is φ = 641986560.

The previous prime is 2413279783. The next prime is 2413279801. The reversal of 2413279800 is 89723142.

2413279800 is a `hidden beast` number, since 241 + 327 + 98 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413279801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 875224 + ... + 877976.

It is an arithmetic number, because the mean of its divisors is an integer number (56417985).

Almost surely, 2^2413279800 is an apocalyptic number.

2413279800 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 2413279800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062094920).

2413279800 is an abundant number, since it is smaller than the sum of its proper divisors (5710910040).

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

2413279800 is a wasteful number, since it uses less digits than its factorization.

2413279800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2413279800 is about 49125.1442745973. The cubic root of 2413279800 is about 1341.3307860432.

The spelling of 2413279800 in words is "two billion, four hundred thirteen million, two hundred seventy-nine thousand, eight hundred".