2765677140 has 72 divisors (see below), whose sum is σ = 8593858728. Its totient is φ = 719523840.

The previous prime is 2765677127. The next prime is 2765677153. The reversal of 2765677140 is 417765672.

2765677140 is a `hidden beast` number, since 2 + 76 + 567 + 7 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2765677127) and next prime (2765677153).

It can be written as a sum of positive squares in 4 ways, for example, as 90098064 + 2675579076 = 9492^2 + 51726^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179997 + ... + 194756.

It is an arithmetic number, because the mean of its divisors is an integer number (119359149).

Almost surely, 2^2765677140 is an apocalyptic number.

2765677140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2765677140 is an abundant number, since it is smaller than the sum of its proper divisors (5828181588).

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

2765677140 is a wasteful number, since it uses less digits than its factorization.

2765677140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374809 (or 374804 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 2765677140 is about 52589.7056466377. The cubic root of 2765677140 is about 1403.6769230077.

The spelling of 2765677140 in words is "two billion, seven hundred sixty-five million, six hundred seventy-seven thousand, one hundred forty".