2985974901 has 128 divisors (see below), whose sum is σ = 5677056000. Its totient is φ = 1508855040.

The previous prime is 2985974899. The next prime is 2985974903. The reversal of 2985974901 is 1094795892.

2985974901 is a `hidden beast` number, since 2 + 9 + 8 + 597 + 49 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2985974899) and next prime (2985974903).

It is not a de Polignac number, because 2985974901 - 2¹ = 2985974899 is a prime.

It is a super-2 number, since 2×2985974901² = 17832092218803919602, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985974903) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 15004800 + ... + 15004998.

It is an arithmetic number, because the mean of its divisors is an integer number (44352000).

Almost surely, 2^2985974901 is an apocalyptic number.

2985974901 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2985974901 is a deficient number, since it is larger than the sum of its proper divisors (2691081099).

2985974901 is a wasteful number, since it uses less digits than its factorization.

2985974901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The square root of 2985974901 is about 54644.0747108046. The cubic root of 2985974901 is about 1439.9985373249.

The spelling of 2985974901 in words is "two billion, nine hundred eighty-five million, nine hundred seventy-four thousand, nine hundred one".