2479724142 has 64 divisors (see below), whose sum is σ = 6018084864. Its totient is φ = 664957440.

The previous prime is 2479724123. The next prime is 2479724161. The reversal of 2479724142 is 2414279742.

It is an interprime number because it is at equal distance from previous prime (2479724123) and next prime (2479724161).

It is a super-2 number, since 2×2479724142² = 12298063640835272328, which contains 22 as substring.

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 = 2479724094 and 2479724103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261667 + ... + 270977.

It is an arithmetic number, because the mean of its divisors is an integer number (94032576).

Almost surely, 2^2479724142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479724142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009042432).

2479724142 is an abundant number, since it is smaller than the sum of its proper divisors (3538360722).

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

2479724142 is a wasteful number, since it uses less digits than its factorization.

2479724142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9713.

The product of its digits is 225792, while the sum is 42.

The square root of 2479724142 is about 49796.8286339602. The cubic root of 2479724142 is about 1353.5297009474.

The spelling of 2479724142 in words is "two billion, four hundred seventy-nine million, seven hundred twenty-four thousand, one hundred forty-two".