1972742016 has 256 divisors, whose sum is σ = 6620175360. Its totient is φ = 507150336.

The previous prime is 1972742011. The next prime is 1972742017. The reversal of 1972742016 is 6102472791.

It is a super-2 number, since 2×1972742016² = 7783422123383488512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972742011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050070 + ... + 1051946.

It is an arithmetic number, because the mean of its divisors is an integer number (25860060).

Almost surely, 2^1972742016 is an apocalyptic number.

1972742016 is a gapful number since it is divisible by the number (16) 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 1972742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310087680).

1972742016 is an abundant number, since it is smaller than the sum of its proper divisors (4647433344).

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

1972742016 is a wasteful number, since it uses less digits than its factorization.

1972742016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 1972742016 is about 44415.5605165577. The cubic root of 1972742016 is about 1254.1710299401.

The spelling of 1972742016 in words is "one billion, nine hundred seventy-two million, seven hundred forty-two thousand, sixteen".