1972419840 has 216 divisors, whose sum is σ = 6881722848. Its totient is φ = 521564160.

The previous prime is 1972419727. The next prime is 1972419853. The reversal of 1972419840 is 489142791.

It is a happy number.

1972419840 is a `hidden beast` number, since 197 + 2 + 419 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508467 + ... + 1509773.

It is an arithmetic number, because the mean of its divisors is an integer number (31859828).

Almost surely, 2^1972419840 is an apocalyptic number.

1972419840 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 1972419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440861424).

1972419840 is an abundant number, since it is smaller than the sum of its proper divisors (4909303008).

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

1972419840 is a wasteful number, since it uses less digits than its factorization.

1972419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1972419840 is about 44411.9335314282. The cubic root of 1972419840 is about 1254.1027517431.

The spelling of 1972419840 in words is "one billion, nine hundred seventy-two million, four hundred nineteen thousand, eight hundred forty".