2413595940 has 144 divisors (see below), whose sum is σ = 7979412672. Its totient is φ = 543400704.

The previous prime is 2413595917. The next prime is 2413595941. The reversal of 2413595940 is 495953142.

2413595940 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 2413595892 and 2413595901.

It is not an unprimeable number, because it can be changed into a prime (2413595941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190854 + ... + 203106.

It is an arithmetic number, because the mean of its divisors is an integer number (55412588).

Almost surely, 2^2413595940 is an apocalyptic number.

2413595940 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 2413595940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989706336).

2413595940 is an abundant number, since it is smaller than the sum of its proper divisors (5565816732).

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

2413595940 is a wasteful number, since it uses less digits than its factorization.

2413595940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12346 (or 12337 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 2413595940 is about 49128.3618696980. The cubic root of 2413595940 is about 1341.3893549942.

The spelling of 2413595940 in words is "two billion, four hundred thirteen million, five hundred ninety-five thousand, nine hundred forty".