2462772642 has 64 divisors (see below), whose sum is σ = 5515361280. Its totient is φ = 726811200.

The previous prime is 2462772619. The next prime is 2462772721.

2462772642 is nontrivially palindromic in base 10.

2462772642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2462772594 and 2462772603.

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, 411709 + ... + 417647.

It is an arithmetic number, because the mean of its divisors is an integer number (86177520).

Almost surely, 2^2462772642 is an apocalyptic number.

2462772642 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 2462772642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757680640).

2462772642 is an abundant number, since it is smaller than the sum of its proper divisors (3052588638).

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

2462772642 is a wasteful number, since it uses less digits than its factorization.

2462772642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119.

The product of its digits is 451584, while the sum is 42.

The square root of 2462772642 is about 49626.3301282696. The cubic root of 2462772642 is about 1350.4383838290.

The spelling of 2462772642 in words is "two billion, four hundred sixty-two million, seven hundred seventy-two thousand, six hundred forty-two".