2072765970 has 256 divisors, whose sum is σ = 6498869760. Its totient is φ = 464486400.

The previous prime is 2072765963. The next prime is 2072766013. The reversal of 2072765970 is 795672702.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 3079554 + ... + 3080226.

It is an arithmetic number, because the mean of its divisors is an integer number (25386210).

Almost surely, 2^2072765970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072765970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249434880).

2072765970 is an abundant number, since it is smaller than the sum of its proper divisors (4426103790).

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

2072765970 is a wasteful number, since it uses less digits than its factorization.

2072765970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 2072765970 is about 45527.6396269343. The cubic root of 2072765970 is about 1275.0192938257.

The spelling of 2072765970 in words is "two billion, seventy-two million, seven hundred sixty-five thousand, nine hundred seventy".