2765532240 has 160 divisors (see below), whose sum is σ = 9569030400. Its totient is φ = 734123520.

The previous prime is 2765532197. The next prime is 2765532277. The reversal of 2765532240 is 422355672.

2765532240 is a `hidden beast` number, since 27 + 65 + 532 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2765532195 and 2765532204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491845 + ... + 497435.

It is an arithmetic number, because the mean of its divisors is an integer number (59806440).

Almost surely, 2^2765532240 is an apocalyptic number.

2765532240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765532240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784515200).

2765532240 is an abundant number, since it is smaller than the sum of its proper divisors (6803498160).

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

2765532240 is a wasteful number, since it uses less digits than its factorization.

2765532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2765532240 is about 52588.3279825476. The cubic root of 2765532240 is about 1403.6524086569.

It can be divided in two parts, 27655 and 32240, that added together give a palindrome (59895).

The spelling of 2765532240 in words is "two billion, seven hundred sixty-five million, five hundred thirty-two thousand, two hundred forty".