1971242400 has 288 divisors, whose sum is σ = 6824563200. Its totient is φ = 492825600.

The previous prime is 1971242359. The next prime is 1971242411. The reversal of 1971242400 is 42421791.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 6338245 + ... + 6338555.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 2^1971242400 is an apocalyptic number.

1971242400 is a gapful number since it is divisible by the number (10) 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 1971242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412281600).

1971242400 is an abundant number, since it is smaller than the sum of its proper divisors (4853320800).

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

1971242400 is a wasteful number, since it uses less digits than its factorization.

1971242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1971242400 is about 44398.6756559247. The cubic root of 1971242400 is about 1253.8531556822.

The spelling of 1971242400 in words is "one billion, nine hundred seventy-one million, two hundred forty-two thousand, four hundred".