2278916640 has 1536 divisors, whose sum is σ = 11705057280. Its totient is φ = 398131200.

The previous prime is 2278916587. The next prime is 2278916663. The reversal of 2278916640 is 466198722.

It is a happy number.

It is a super-2 number, since 2×2278916640² = 10386922104137779200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73513425 + ... + 73513455.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2^2278916640 is an apocalyptic number.

2278916640 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 2278916640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852528640).

2278916640 is an abundant number, since it is smaller than the sum of its proper divisors (9426140640).

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

2278916640 is a wasteful number, since it uses less digits than its factorization.

2278916640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2278916640 is about 47737.9999581047. Note that the first 4 decimals coincide. The cubic root of 2278916640 is about 1315.9603773451.

The spelling of 2278916640 in words is "two billion, two hundred seventy-eight million, nine hundred sixteen thousand, six hundred forty".