2763730340 has 72 divisors (see below), whose sum is σ = 6767091072. Its totient is φ = 945362880.

The previous prime is 2763730313. The next prime is 2763730349. The reversal of 2763730340 is 430373672.

2763730340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2763730340.

It is not an unprimeable number, because it can be changed into a prime (2763730349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450695 + ... + 456785.

It is an arithmetic number, because the mean of its divisors is an integer number (93987376).

Almost surely, 2^2763730340 is an apocalyptic number.

2763730340 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 2763730340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383545536).

2763730340 is an abundant number, since it is smaller than the sum of its proper divisors (4003360732).

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

2763730340 is a wasteful number, since it uses less digits than its factorization.

2763730340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6577 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 35.

The square root of 2763730340 is about 52571.1930623607. The cubic root of 2763730340 is about 1403.3474895589.

The spelling of 2763730340 in words is "two billion, seven hundred sixty-three million, seven hundred thirty thousand, three hundred forty".