2278645824 has 336 divisors, whose sum is σ = 7809317376. Its totient is φ = 580608000.

The previous prime is 2278645823. The next prime is 2278645867. The reversal of 2278645824 is 4285468722.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2278645823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3791124 + ... + 3791724.

It is an arithmetic number, because the mean of its divisors is an integer number (23242016).

Almost surely, 2^2278645824 is an apocalyptic number.

2278645824 is a gapful number since it is divisible by the number (24) 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 2278645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904658688).

2278645824 is an abundant number, since it is smaller than the sum of its proper divisors (5530671552).

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

2278645824 is a wasteful number, since it uses less digits than its factorization.

2278645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 657 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The square root of 2278645824 is about 47735.1633913617. The cubic root of 2278645824 is about 1315.9082477151.

The spelling of 2278645824 in words is "two billion, two hundred seventy-eight million, six hundred forty-five thousand, eight hundred twenty-four".