1997970624 has 280 divisors, whose sum is σ = 6660672480. Its totient is φ = 587575296.

The previous prime is 1997970617. The next prime is 1997970629. The reversal of 1997970624 is 4260797991.

1997970624 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 9 + 7 + 0 + 624 = 666.

It is a super-2 number, since 2×1997970624² = 7983773228733898752, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997970629) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1549372 + ... + 1550660.

It is an arithmetic number, because the mean of its divisors is an integer number (23788116).

Almost surely, 2^1997970624 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 1997970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330336240).

1997970624 is an abundant number, since it is smaller than the sum of its proper divisors (4662701856).

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

1997970624 is a wasteful number, since it uses less digits than its factorization.

1997970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 1997970624 is about 44698.6646780416. The cubic root of 1997970624 is about 1259.4947634230.

The spelling of 1997970624 in words is "one billion, nine hundred ninety-seven million, nine hundred seventy thousand, six hundred twenty-four".