2276778240 has 576 divisors, whose sum is σ = 9059662080. Its totient is φ = 536739840.

The previous prime is 2276778223. The next prime is 2276778247. The reversal of 2276778240 is 428776722.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2276778247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20148424 + ... + 20148536.

It is an arithmetic number, because the mean of its divisors is an integer number (15728580).

Almost surely, 2^2276778240 is an apocalyptic number.

2276778240 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 2276778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529831040).

2276778240 is an abundant number, since it is smaller than the sum of its proper divisors (6782883840).

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

2276778240 is a wasteful number, since it uses less digits than its factorization.

2276778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 2276778240 is about 47715.5974498905. The cubic root of 2276778240 is about 1315.5486421870.

The spelling of 2276778240 in words is "two billion, two hundred seventy-six million, seven hundred seventy-eight thousand, two hundred forty".