1970689248 has 288 divisors, whose sum is σ = 6345192672. Its totient is φ = 579870720.

The previous prime is 1970689247. The next prime is 1970689271. The reversal of 1970689248 is 8429860791.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1970689248² = 7767232224365611008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1970689194 and 1970689203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970689247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20316336 + ... + 20316432.

It is an arithmetic number, because the mean of its divisors is an integer number (22031919).

Almost surely, 2^1970689248 is an apocalyptic number.

1970689248 is a gapful number since it is divisible by the number (18) 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 1970689248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172596336).

1970689248 is an abundant number, since it is smaller than the sum of its proper divisors (4374503424).

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

1970689248 is a wasteful number, since it uses less digits than its factorization.

1970689248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1970689248 is about 44392.4458438595. The cubic root of 1970689248 is about 1253.7358631115.

The spelling of 1970689248 in words is "one billion, nine hundred seventy million, six hundred eighty-nine thousand, two hundred forty-eight".