2959163729284 has 243 divisors, whose sum is σ = 6614204248197. Its totient is φ = 1154833194816.

The previous prime is 2959163729281. The next prime is 2959163729287. The reversal of 2959163729284 is 4829273619592.

The square root of 2959163729284 is 1720222.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2959163729281) and next prime (2959163729287).

It can be written as a sum of positive squares in only one way, i.e., 1551713679684 + 1407450049600 = 1245678^2 + 1186360^2 .

Its product of digits (117573120) is a multiple of the sum of its prime divisors (280).

It is not an unprimeable number, because it can be changed into a prime (2959163729281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13269792397 + ... + 13269792619.

Almost surely, 2^{2959163729284} is an apocalyptic number.

2959163729284 is the 1720222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2959163729284

2959163729284 is an abundant number, since it is smaller than the sum of its proper divisors (3655040518913).

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

2959163729284 is a wasteful number, since it uses less digits than its factorization.

2959163729284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 280 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 67.

The spelling of 2959163729284 in words is "two trillion, nine hundred fifty-nine billion, one hundred sixty-three million, seven hundred twenty-nine thousand, two hundred eighty-four".