2029430972560 has 40 divisors (see below), whose sum is σ = 4720016794680. Its totient is φ = 811498877952.

The previous prime is 2029430972557. The next prime is 2029430972561. The reversal of 2029430972560 is 652790349202.

It can be written as a sum of positive squares in 4 ways, for example, as 244577724304 + 1784853248256 = 494548^2 + 1335984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2029430972561) 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, 4034607 + ... + 4509646.

It is an arithmetic number, because the mean of its divisors is an integer number (118000419867).

Almost surely, 2^{2029430972560} is an apocalyptic number.

2029430972560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2029430972560 is an abundant number, since it is smaller than the sum of its proper divisors (2690585822120).

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

2029430972560 is a wasteful number, since it uses less digits than its factorization.

2029430972560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8547235 (or 8547229 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 2029430972560 in words is "two trillion, twenty-nine billion, four hundred thirty million, nine hundred seventy-two thousand, five hundred sixty".