2413142000 has 80 divisors (see below), whose sum is σ = 5905684512. Its totient is φ = 953561600.

The previous prime is 2413141999. The next prime is 2413142029. The reversal of 2413142000 is 2413142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2413142000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158732 + ... + 173268.

Almost surely, 2^2413142000 is an apocalyptic number.

2413142000 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 2413142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952842256).

2413142000 is an abundant number, since it is smaller than the sum of its proper divisors (3492542512).

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

2413142000 is a wasteful number, since it uses less digits than its factorization.

2413142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14643 (or 14627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2413142000 is about 49123.7417141651. The cubic root of 2413142000 is about 1341.3052552420.

Adding to 2413142000 its reverse (2413142), we get a palindrome (2415555142).

2413142000 divided by its reverse (2413142) gives a cube (1000 = 10³).

The spelling of 2413142000 in words is "two billion, four hundred thirteen million, one hundred forty-two thousand".