2278376352 has 288 divisors, whose sum is σ = 7643510784. Its totient is φ = 630374400.

The previous prime is 2278376333. The next prime is 2278376357. The reversal of 2278376352 is 2536738722.

2278376352 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 3 + 7 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2278376298 and 2278376307.

It is not an unprimeable number, because it can be changed into a prime (2278376357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11928577 + ... + 11928767.

It is an arithmetic number, because the mean of its divisors is an integer number (26539968).

Almost surely, 2^2278376352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2278376352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821755392).

2278376352 is an abundant number, since it is smaller than the sum of its proper divisors (5365134432).

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

2278376352 is a wasteful number, since it uses less digits than its factorization.

2278376352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 361 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 2278376352 is about 47732.3407345586. The cubic root of 2278376352 is about 1315.8563726931.

The spelling of 2278376352 in words is "two billion, two hundred seventy-eight million, three hundred seventy-six thousand, three hundred fifty-two".