2670578352 has 240 divisors, whose sum is σ = 8319467520. Its totient is φ = 794562048.

The previous prime is 2670578311. The next prime is 2670578357. The reversal of 2670578352 is 2538750762.

2670578352 is a `hidden beast` number, since 2 + 6 + 70 + 578 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2670578298 and 2670578307.

It is not an unprimeable number, because it can be changed into a prime (2670578357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11173849 + ... + 11174087.

It is an arithmetic number, because the mean of its divisors is an integer number (34664448).

Almost surely, 2^2670578352 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 2670578352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159733760).

2670578352 is an abundant number, since it is smaller than the sum of its proper divisors (5648889168).

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

2670578352 is a wasteful number, since it uses less digits than its factorization.

2670578352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2670578352 is about 51677.6388005489. The cubic root of 2670578352 is about 1387.4002702119.

The spelling of 2670578352 in words is "two billion, six hundred seventy million, five hundred seventy-eight thousand, three hundred fifty-two".