2014409852952 has 64 divisors (see below), whose sum is σ = 6058375507200. Its totient is φ = 545253793920.

The previous prime is 2014409852947. The next prime is 2014409852957. The reversal of 2014409852952 is 2592589044102.

It is an interprime number because it is at equal distance from previous prime (2014409852947) and next prime (2014409852957).

It is a super-2 number, since 2×2014409852952² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2014409852895 and 2014409852904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014409852957) 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, 315537199 + ... + 315543582.

It is an arithmetic number, because the mean of its divisors is an integer number (94662117300).

Almost surely, 2^{2014409852952} is an apocalyptic number.

It is an amenable number.

2014409852952 is an abundant number, since it is smaller than the sum of its proper divisors (4043965654248).

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

2014409852952 is a wasteful number, since it uses less digits than its factorization.

2014409852952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631080816 (or 631080812 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 2014409852952 in words is "two trillion, fourteen billion, four hundred nine million, eight hundred fifty-two thousand, nine hundred fifty-two".