2126837601 has 48 divisors (see below), whose sum is σ = 3673937280. Its totient is φ = 1212472800.

The previous prime is 2126837593. The next prime is 2126837633. The reversal of 2126837601 is 1067386212.

2126837601 is a `hidden beast` number, since 2 + 12 + 6 + 8 + 37 + 601 = 666.

It is not a de Polignac number, because 2126837601 - 2³ = 2126837593 is a prime.

It is a super-3 number, since 3×2126837601³ (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2126837101) 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 47 ways as a sum of consecutive naturals, for example, 642651 + ... + 645951.

It is an arithmetic number, because the mean of its divisors is an integer number (76540360).

Almost surely, 2^2126837601 is an apocalyptic number.

2126837601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2126837601 is a deficient number, since it is larger than the sum of its proper divisors (1547099679).

2126837601 is a wasteful number, since it uses less digits than its factorization.

2126837601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2126837601 is about 46117.6495606617. The cubic root of 2126837601 is about 1286.0112759795.

The spelling of 2126837601 in words is "two billion, one hundred twenty-six million, eight hundred thirty-seven thousand, six hundred one".