2946801482960 has 40 divisors (see below), whose sum is σ = 7087565641320. Its totient is φ = 1138075054592.

The previous prime is 2946801482939. The next prime is 2946801483011. The reversal of 2946801482960 is 692841086492.

It can be written as a sum of positive squares in 4 ways, for example, as 71389427344 + 2875412055616 = 267188^2 + 1695704^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2946801482960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 635084207 + ... + 635088846.

It is an arithmetic number, because the mean of its divisors is an integer number (177189141033).

Almost surely, 2^{2946801482960} is an apocalyptic number.

2946801482960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2946801482960 is an abundant number, since it is smaller than the sum of its proper divisors (4140764158360).

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

2946801482960 is a wasteful number, since it uses less digits than its factorization.

2946801482960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270173095 (or 1270173089 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 59.

The spelling of 2946801482960 in words is "two trillion, nine hundred forty-six billion, eight hundred one million, four hundred eighty-two thousand, nine hundred sixty".