2459779542 has 64 divisors (see below), whose sum is σ = 5980504320. Its totient is φ = 743212800.

The previous prime is 2459779523. The next prime is 2459779547.

2459779542 is a `hidden beast` number, since 2 + 4 + 5 + 97 + 7 + 9 + 542 = 666.

2459779542 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2459779547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203817 + ... + 215547.

It is an arithmetic number, because the mean of its divisors is an integer number (93445380).

Almost surely, 2^2459779542 is an apocalyptic number.

2459779542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2459779542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990252160).

2459779542 is an abundant number, since it is smaller than the sum of its proper divisors (3520724778).

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

2459779542 is a wasteful number, since it uses less digits than its factorization.

2459779542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12106 (or 12100 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 2459779542 is about 49596.1645896132. The cubic root of 2459779542 is about 1349.8910825708.

The spelling of 2459779542 in words is "two billion, four hundred fifty-nine million, seven hundred seventy-nine thousand, five hundred forty-two".