2276580000 has 240 divisors, whose sum is σ = 7864607520. Its totient is φ = 574848000.

The previous prime is 2276579999. The next prime is 2276580001. The reversal of 2276580000 is 856722.

It is an interprime number because it is at equal distance from previous prime (2276579999) and next prime (2276580001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2276580000.

It is not an unprimeable number, because it can be changed into a prime (2276580001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139002 + ... + 1140998.

It is an arithmetic number, because the mean of its divisors is an integer number (32769198).

Almost surely, 2^2276580000 is an apocalyptic number.

2276580000 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 2276580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932303760).

2276580000 is an abundant number, since it is smaller than the sum of its proper divisors (5588027520).

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

2276580000 is a wasteful number, since it uses less digits than its factorization.

2276580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2276580000 is about 47713.5200965093. The cubic root of 2276580000 is about 1315.5104592951.

The spelling of 2276580000 in words is "two billion, two hundred seventy-six million, five hundred eighty thousand".