1970638848 has 208 divisors, whose sum is σ = 5928973440. Its totient is φ = 646742016.

The previous prime is 1970638847. The next prime is 1970638853. The reversal of 1970638848 is 8488360791.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1970638794 and 1970638803.

It is not an unprimeable number, because it can be changed into a prime (1970638843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11390890 + ... + 11391062.

It is an arithmetic number, because the mean of its divisors is an integer number (28504680).

Almost surely, 2^1970638848 is an apocalyptic number.

1970638848 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 1970638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2964486720).

1970638848 is an abundant number, since it is smaller than the sum of its proper divisors (3958334592).

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

1970638848 is a wasteful number, since it uses less digits than its factorization.

1970638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1970638848 is about 44391.8781760808. The cubic root of 1970638848 is about 1253.7251750022.

The spelling of 1970638848 in words is "one billion, nine hundred seventy million, six hundred thirty-eight thousand, eight hundred forty-eight".