2764688040 has 48 divisors (see below), whose sum is σ = 8985237300. Its totient is φ = 737250048.

The previous prime is 2764688033. The next prime is 2764688107. The reversal of 2764688040 is 408864672.

2764688040 is a `hidden beast` number, since 2 + 76 + 468 + 80 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2590606404 + 174081636 = 50898^2 + 13194^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3839485 + ... + 3840204.

Almost surely, 2^2764688040 is an apocalyptic number.

2764688040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2764688040 is an abundant number, since it is smaller than the sum of its proper divisors (6220549260).

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

2764688040 is a wasteful number, since it uses less digits than its factorization.

2764688040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7679706 (or 7679699 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2764688040 is about 52580.3008739965. The cubic root of 2764688040 is about 1403.5095688882.

The spelling of 2764688040 in words is "two billion, seven hundred sixty-four million, six hundred eighty-eight thousand, forty".