2787977764 has 48 divisors (see below), whose sum is σ = 6069119616. Its totient is φ = 1100966400.

The previous prime is 2787977761. The next prime is 2787977789. The reversal of 2787977764 is 4677797872.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2787977696 and 2787977705.

It is not an unprimeable number, because it can be changed into a prime (2787977761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133632 + ... + 153079.

It is an arithmetic number, because the mean of its divisors is an integer number (126439992).

Almost surely, 2^2787977764 is an apocalyptic number.

It is an amenable number.

2787977764 is an abundant number, since it is smaller than the sum of its proper divisors (3281141852).

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

2787977764 is a wasteful number, since it uses less digits than its factorization.

2787977764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286756 (or 286754 counting only the distinct ones).

The product of its digits is 58084992, while the sum is 64.

The square root of 2787977764 is about 52801.3045672169. The cubic root of 2787977764 is about 1407.4396074232.

The spelling of 2787977764 in words is "two billion, seven hundred eighty-seven million, nine hundred seventy-seven thousand, seven hundred sixty-four".