2738742562960 has 40 divisors (see below), whose sum is σ = 6367664302776. Its totient is φ = 1095481912320.

The previous prime is 2738742562949. The next prime is 2738742562979. The reversal of 2738742562960 is 692652478372.

It can be written as a sum of positive squares in 4 ways, for example, as 1654711758736 + 1084030804224 = 1286356^2 + 1041168^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6961930 + ... + 7344790.

Almost surely, 2^{2738742562960} is an apocalyptic number.

2738742562960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2738742562960 is an abundant number, since it is smaller than the sum of its proper divisors (3628921739816).

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

2738742562960 is a wasteful number, since it uses less digits than its factorization.

2738742562960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472291 (or 472285 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 2738742562960 in words is "two trillion, seven hundred thirty-eight billion, seven hundred forty-two million, five hundred sixty-two thousand, nine hundred sixty".