2464004642 has 16 divisors (see below), whose sum is σ = 4049777952. Its totient is φ = 1115065920.

The previous prime is 2464004581. The next prime is 2464004681.

2464004642 is nontrivially palindromic in base 10.

2464004642 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 = 2464004599 and 2464004608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241703 + ... + 251690.

It is an arithmetic number, because the mean of its divisors is an integer number (253111122).

Almost surely, 2^2464004642 is an apocalyptic number.

2464004642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2464004642 is a deficient number, since it is larger than the sum of its proper divisors (1585773310).

2464004642 is a wasteful number, since it uses less digits than its factorization.

2464004642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493633.

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 2464004642 is about 49638.7413418189. The cubic root of 2464004642 is about 1350.6635315222.

The spelling of 2464004642 in words is "two billion, four hundred sixty-four million, four thousand, six hundred forty-two".