2861764101 has 72 divisors (see below), whose sum is σ = 5148159744. Its totient is φ = 1582338240.

The previous prime is 2861764063. The next prime is 2861764151. The reversal of 2861764101 is 1014671682.

It is a happy number.

2861764101 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 7 + 641 + 0 + 1 = 666.

It is not a de Polignac number, because 2861764101 - 2¹⁵ = 2861731333 is a prime.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2861764151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365241 + ... + 372993.

Almost surely, 2^2861764101 is an apocalyptic number.

2861764101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2861764101 is a deficient number, since it is larger than the sum of its proper divisors (2286395643).

2861764101 is an equidigital number, since it uses as much as digits as its factorization.

2861764101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7813 (or 7794 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2861764101 is about 53495.4586951079. The cubic root of 2861764101 is about 1419.7480378513.

The spelling of 2861764101 in words is "two billion, eight hundred sixty-one million, seven hundred sixty-four thousand, one hundred one".