2764821690 has 96 divisors (see below), whose sum is σ = 7641444096. Its totient is φ = 691176960.

The previous prime is 2764821667. The next prime is 2764821701. The reversal of 2764821690 is 961284672.

It is a happy number.

2764821690 is a `hidden beast` number, since 2 + 7 + 6 + 482 + 169 + 0 = 666.

It is a super-2 number, since 2×2764821690² = 15288477954988912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398955 + ... + 405825.

It is an arithmetic number, because the mean of its divisors is an integer number (79598376).

Almost surely, 2^2764821690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2764821690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820722048).

2764821690 is an abundant number, since it is smaller than the sum of its proper divisors (4876622406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2764821690 is a wasteful number, since it uses less digits than its factorization.

2764821690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7164 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2764821690 is about 52581.5717718670. The cubic root of 2764821690 is about 1403.5321845840.

The spelling of 2764821690 in words is "two billion, seven hundred sixty-four million, eight hundred twenty-one thousand, six hundred ninety".