2462002642 has 32 divisors (see below), whose sum is σ = 4074681024. Its totient is φ = 1106380800.

The previous prime is 2462002637. The next prime is 2462002643.

2462002642 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2462002642² = 12122914018429960328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2462002642.

It is not an unprimeable number, because it can be changed into a prime (2462002643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1219618 + ... + 1221634.

It is an arithmetic number, because the mean of its divisors is an integer number (127333782).

Almost surely, 2^2462002642 is an apocalyptic number.

2462002642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2462002642 is a deficient number, since it is larger than the sum of its proper divisors (1612678382).

2462002642 is a wasteful number, since it uses less digits than its factorization.

2462002642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634.

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2462002642 is about 49618.5715433244. The cubic root of 2462002642 is about 1350.2976283885.

It can be divided in two parts, 246200 and 2642, that added together give a palindrome (248842).

The spelling of 2462002642 in words is "two billion, four hundred sixty-two million, two thousand, six hundred forty-two".