2764830640 has 240 divisors, whose sum is σ = 7713506304. Its totient is φ = 915425280.

The previous prime is 2764830637. The next prime is 2764830709. The reversal of 2764830640 is 460384672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2764830593 and 2764830602.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15981594 + ... + 15981766.

It is a vampire number, since it can be written as 38060 ⋅ 72644 (with its own digits).

Almost surely, 2^2764830640 is an apocalyptic number.

2764830640 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 2764830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856753152).

2764830640 is an abundant number, since it is smaller than the sum of its proper divisors (4948675664).

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

2764830640 is a wasteful number, since it uses less digits than its factorization.

2764830640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 2764830640 is about 52581.6568776603. The cubic root of 2764830640 is about 1403.5336990397.

The spelling of 2764830640 in words is "two billion, seven hundred sixty-four million, eight hundred thirty thousand, six hundred forty".