2464152514642 has 192 divisors, whose sum is σ = 4808205642240. Its totient is φ = 922199427072.

The previous prime is 2464152514633. The next prime is 2464152514699.

2464152514642 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 2464152514592 and 2464152514601.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5613103459 + ... + 5613103897.

It is an arithmetic number, because the mean of its divisors is an integer number (25042737720).

Almost surely, 2^{2464152514642} is an apocalyptic number.

2464152514642 is a deficient number, since it is larger than the sum of its proper divisors (2344053127598).

2464152514642 is a wasteful number, since it uses less digits than its factorization.

2464152514642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 994 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 46.

The spelling of 2464152514642 in words is "two trillion, four hundred sixty-four billion, one hundred fifty-two million, five hundred fourteen thousand, six hundred forty-two".