2765747952 has 240 divisors, whose sum is σ = 8997281280. Its totient is φ = 783820800.

The previous prime is 2765747923. The next prime is 2765747989. The reversal of 2765747952 is 2597475672.

It is a happy number.

2765747952 is a `hidden beast` number, since 2 + 76 + 57 + 479 + 52 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7297299 + ... + 7297677.

It is an arithmetic number, because the mean of its divisors is an integer number (37488672).

Almost surely, 2^2765747952 is an apocalyptic number.

2765747952 is a gapful number since it is divisible by the number (22) 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 2765747952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498640640).

2765747952 is an abundant number, since it is smaller than the sum of its proper divisors (6231533328).

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

2765747952 is a wasteful number, since it uses less digits than its factorization.

2765747952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 54.

The square root of 2765747952 is about 52590.3788919608. The cubic root of 2765747952 is about 1403.6889027528.

The spelling of 2765747952 in words is "two billion, seven hundred sixty-five million, seven hundred forty-seven thousand, nine hundred fifty-two".