2278362240 has 576 divisors, whose sum is σ = 9904265280. Its totient is φ = 472412160.

The previous prime is 2278362227. The next prime is 2278362241. The reversal of 2278362240 is 422638722.

It is a happy number.

2278362240 is a `hidden beast` number, since 2 + 27 + 8 + 3 + 622 + 4 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2278362195 and 2278362204.

It is not an unprimeable number, because it can be changed into a prime (2278362241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4878487 + ... + 4878953.

It is an arithmetic number, because the mean of its divisors is an integer number (17194905).

Almost surely, 2^2278362240 is an apocalyptic number.

2278362240 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 2278362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952132640).

2278362240 is an abundant number, since it is smaller than the sum of its proper divisors (7625903040).

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

2278362240 is a wasteful number, since it uses less digits than its factorization.

2278362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2278362240 is about 47732.1929100267. The cubic root of 2278362240 is about 1315.8536559334.

The spelling of 2278362240 in words is "two billion, two hundred seventy-eight million, three hundred sixty-two thousand, two hundred forty".