2764363140 has 576 divisors, whose sum is σ = 11095418880. Its totient is φ = 561116160.

The previous prime is 2764363111. The next prime is 2764363141. The reversal of 2764363140 is 413634672.

It is a happy number.

2764363140 is a `hidden beast` number, since 2 + 7 + 643 + 6 + 3 + 1 + 4 + 0 = 666.

It is a super-3 number, since 3×2764363140³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2764363095 and 2764363104.

It is not an unprimeable number, because it can be changed into a prime (2764363141) 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 191 ways as a sum of consecutive naturals, for example, 31060216 + ... + 31060304.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 2^2764363140 is an apocalyptic number.

2764363140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2764363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547709440).

2764363140 is an abundant number, since it is smaller than the sum of its proper divisors (8331055740).

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

2764363140 is a wasteful number, since it uses less digits than its factorization.

2764363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2764363140 is about 52577.2112231145. The cubic root of 2764363140 is about 1403.4545876249.

The spelling of 2764363140 in words is "two billion, seven hundred sixty-four million, three hundred sixty-three thousand, one hundred forty".