1970769024 has 144 divisors (see below), whose sum is σ = 6597174870. Its totient is φ = 563060736.

The previous prime is 1970769023. The next prime is 1970769041. The reversal of 1970769024 is 4209670791.

It can be written as a sum of positive squares in only one way, i.e., 1694145600 + 276623424 = 41160^2 + 16632^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970769023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38992 + ... + 73904.

Almost surely, 2^1970769024 is an apocalyptic number.

1970769024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1970769024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298587435).

1970769024 is an abundant number, since it is smaller than the sum of its proper divisors (4626405846).

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

1970769024 is a wasteful number, since it uses less digits than its factorization.

1970769024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34947 (or 34925 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 1970769024 is about 44393.3443660196. The cubic root of 1970769024 is about 1253.7527804892.

The spelling of 1970769024 in words is "one billion, nine hundred seventy million, seven hundred sixty-nine thousand, twenty-four".