2767040440 has 64 divisors (see below), whose sum is σ = 6338165760. Its totient is φ = 1087027200.

The previous prime is 2767040429. The next prime is 2767040489. The reversal of 2767040440 is 440407672.

It is a junction number, because it is equal to n+sod(n) for n = 2767040396 and 2767040405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510384 + ... + 515776.

It is an arithmetic number, because the mean of its divisors is an integer number (99033840).

Almost surely, 2^2767040440 is an apocalyptic number.

2767040440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2767040440 is an abundant number, since it is smaller than the sum of its proper divisors (3571125320).

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

2767040440 is a wasteful number, since it uses less digits than its factorization.

2767040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 2767040440 is about 52602.6657119200. The cubic root of 2767040440 is about 1403.9075257746.

The spelling of 2767040440 in words is "two billion, seven hundred sixty-seven million, forty thousand, four hundred forty".