2973751944849 has 45 divisors (see below), whose sum is σ = 5011451750409. Its totient is φ = 1699141971240.

The previous prime is 2973751944841. The next prime is 2973751944869. The reversal of 2973751944849 is 9484491573792.

The square root of 2973751944849 is 1724457.

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

2973751944849 is a `hidden beast` number, since 2 + 9 + 7 + 3 + 7 + 51 + 94 + 484 + 9 = 666.

It is not a de Polignac number, because 2973751944849 - 2³ = 2973751944841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2973751944841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 253489314 + ... + 253501044.

Almost surely, 2^{2973751944849} is an apocalyptic number.

2973751944849 is the 1724457-th square number.

2973751944849 is the 862229-th centered octagonal number.

It is an amenable number.

2973751944849 is a deficient number, since it is larger than the sum of its proper divisors (2037699805560).

2973751944849 is an frugal number, since it uses more digits than its factorization.

2973751944849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23496 (or 11741 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

It can be divided in two parts, 2973751 and 944849, that added together give a triangular number (3918600 = T₂₇₉₉).

The spelling of 2973751944849 in words is "two trillion, nine hundred seventy-three billion, seven hundred fifty-one million, nine hundred forty-four thousand, eight hundred forty-nine".