1992014640 has 960 divisors, whose sum is σ = 9160128000. Its totient is φ = 392878080.

The previous prime is 1992014599. The next prime is 1992014641. The reversal of 1992014640 is 464102991.

It is a happy number.

1992014640 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 0 + 1 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1992014595 and 1992014604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992014641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33762931 + ... + 33762989.

It is an arithmetic number, because the mean of its divisors is an integer number (9541800).

Almost surely, 2^1992014640 is an apocalyptic number.

1992014640 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 1992014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580064000).

1992014640 is an abundant number, since it is smaller than the sum of its proper divisors (7168113360).

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

1992014640 is a wasteful number, since it uses less digits than its factorization.

1992014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1992014640 is about 44631.9912170631. The cubic root of 1992014640 is about 1258.2419927364.

It can be divided in two parts, 199201 and 4640, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 1992014640 in words is "one billion, nine hundred ninety-two million, fourteen thousand, six hundred forty".