2765562000 has 160 divisors (see below), whose sum is σ = 8997281280. Its totient is φ = 730777600.

The previous prime is 2765561977. The next prime is 2765562011. The reversal of 2765562000 is 2655672.

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, 675961 + ... + 680039.

It is an arithmetic number, because the mean of its divisors is an integer number (56233008).

Almost surely, 2^2765562000 is an apocalyptic number.

2765562000 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 2765562000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498640640).

2765562000 is an abundant number, since it is smaller than the sum of its proper divisors (6231719280).

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

2765562000 is a wasteful number, since it uses less digits than its factorization.

2765562000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 2765562000 is about 52588.6109343078. The cubic root of 2765562000 is about 1403.6574435583.

The spelling of 2765562000 in words is "two billion, seven hundred sixty-five million, five hundred sixty-two thousand".