2767120540 has 24 divisors (see below), whose sum is σ = 5814108720. Its totient is φ = 1106247168.

The previous prime is 2767120511. The next prime is 2767120561. The reversal of 2767120540 is 450217672.

It is a junction number, because it is equal to n+sod(n) for n = 2767120496 and 2767120505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159 + ... + 74401.

It is an arithmetic number, because the mean of its divisors is an integer number (242254530).

Almost surely, 2^2767120540 is an apocalyptic number.

2767120540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2767120540 is an abundant number, since it is smaller than the sum of its proper divisors (3046988180).

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

2767120540 is a wasteful number, since it uses less digits than its factorization.

2767120540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75141 (or 75139 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 2767120540 is about 52603.4270746688. The cubic root of 2767120540 is about 1403.9210723671.

The spelling of 2767120540 in words is "two billion, seven hundred sixty-seven million, one hundred twenty thousand, five hundred forty".