1982610461 has 32 divisors (see below), whose sum is σ = 2299207680. Its totient is φ = 1694347200.

The previous prime is 1982610437. The next prime is 1982610517. The reversal of 1982610461 is 1640162891.

It is not a de Polignac number, because 1982610461 - 2¹⁰ = 1982609437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982610401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2296916 + ... + 2297778.

It is an arithmetic number, because the mean of its divisors is an integer number (71850240).

Almost surely, 2^1982610461 is an apocalyptic number.

It is an amenable number.

1982610461 is a deficient number, since it is larger than the sum of its proper divisors (316597219).

1982610461 is a wasteful number, since it uses less digits than its factorization.

1982610461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1982610461 is about 44526.5141348388. The cubic root of 1982610461 is about 1256.2588409038.

The spelling of 1982610461 in words is "one billion, nine hundred eighty-two million, six hundred ten thousand, four hundred sixty-one".