2079447552 has 800 divisors, whose sum is σ = 8318217600. Its totient is φ = 501645312.

The previous prime is 2079447541. The next prime is 2079447563. The reversal of 2079447552 is 2557449702.

2079447552 is a `hidden beast` number, since 2 + 0 + 7 + 94 + 4 + 7 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (2079447541) and next prime (2079447563).

It is a junction number, because it is equal to n+sod(n) for n = 2079447498 and 2079447507.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71705074 + ... + 71705102.

It is an arithmetic number, because the mean of its divisors is an integer number (10397772).

Almost surely, 2^2079447552 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 2079447552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159108800).

2079447552 is an abundant number, since it is smaller than the sum of its proper divisors (6238770048).

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

2079447552 is a wasteful number, since it uses less digits than its factorization.

2079447552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

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

The square root of 2079447552 is about 45600.9599898949. The cubic root of 2079447552 is about 1276.3878368890.

It can be divided in two parts, 207944 and 7552, that added together give a triangular number (215496 = T₆₅₆).

The spelling of 2079447552 in words is "two billion, seventy-nine million, four hundred forty-seven thousand, five hundred fifty-two".