2670538752 has 312 divisors, whose sum is σ = 8995683840. Its totient is φ = 747601920.

The previous prime is 2670538733. The next prime is 2670538753. The reversal of 2670538752 is 2578350762.

2670538752 is a `hidden beast` number, since 2 + 67 + 0 + 538 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2670538698 and 2670538707.

It is not an unprimeable number, because it can be changed into a prime (2670538753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20385727 + ... + 20385857.

It is an arithmetic number, because the mean of its divisors is an integer number (28832320).

Almost surely, 2^2670538752 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 2670538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4497841920).

2670538752 is an abundant number, since it is smaller than the sum of its proper divisors (6325145088).

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

2670538752 is a wasteful number, since it uses less digits than its factorization.

2670538752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

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

The square root of 2670538752 is about 51677.2556546882. The cubic root of 2670538752 is about 1387.3934126060.

The spelling of 2670538752 in words is "two billion, six hundred seventy million, five hundred thirty-eight thousand, seven hundred fifty-two".