2429042640864 has 96 divisors (see below), whose sum is σ = 7296137130240. Its totient is φ = 693154163712.

The previous prime is 2429042640839. The next prime is 2429042640877. The reversal of 2429042640864 is 4680462409242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2429042640864² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1690374 + ... + 2777669.

It is an arithmetic number, because the mean of its divisors is an integer number (76001428440).

Almost surely, 2^{2429042640864} is an apocalyptic number.

2429042640864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2429042640864 is an abundant number, since it is smaller than the sum of its proper divisors (4867094489376).

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

2429042640864 is a wasteful number, since it uses less digits than its factorization.

2429042640864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468872 (or 4468864 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 2429042640864 in words is "two trillion, four hundred twenty-nine billion, forty-two million, six hundred forty thousand, eight hundred sixty-four".