2142595764001 has 8 divisors (see below), whose sum is σ = 2671288225344. Its totient is φ = 1669555140720.

The previous prime is 2142595763953. The next prime is 2142595764007. The reversal of 2142595764001 is 1004675952412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2142595764001 - 2²⁵ = 2142562209569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2142595764007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13912959430 + ... + 13912959583.

It is an arithmetic number, because the mean of its divisors is an integer number (333911028168).

Almost surely, 2^{2142595764001} is an apocalyptic number.

It is an amenable number.

2142595764001 is a deficient number, since it is larger than the sum of its proper divisors (528692461343).

2142595764001 is a wasteful number, since it uses less digits than its factorization.

2142595764001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27825919031.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 2142595764001 in words is "two trillion, one hundred forty-two billion, five hundred ninety-five million, seven hundred sixty-four thousand, one".