2766564040 has 64 divisors (see below), whose sum is σ = 6454468800. Its totient is φ = 1065969408.

The previous prime is 2766564019. The next prime is 2766564041. The reversal of 2766564040 is 404656672.

It is a super-2 number, since 2×2766564040² = 15307753174842243200, which contains 22 as substring.

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 = 2766563984 and 2766564002.

It is not an unprimeable number, because it can be changed into a prime (2766564041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539167 + ... + 544273.

It is an arithmetic number, because the mean of its divisors is an integer number (100851075).

Almost surely, 2^2766564040 is an apocalyptic number.

2766564040 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 2766564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227234400).

2766564040 is an abundant number, since it is smaller than the sum of its proper divisors (3687904760).

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

2766564040 is a wasteful number, since it uses less digits than its factorization.

2766564040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 2766564040 is about 52598.1372293734. The cubic root of 2766564040 is about 1403.8269511261.

The spelling of 2766564040 in words is "two billion, seven hundred sixty-six million, five hundred sixty-four thousand, forty".