1982762496 has 640 divisors, whose sum is σ = 7424524800. Its totient is φ = 513146880.

The previous prime is 1982762491. The next prime is 1982762521. The reversal of 1982762496 is 6942672891.

1982762496 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 7 + 624 + 9 + 6 = 666.

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 (1982762491) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33606115 + ... + 33606173.

It is an arithmetic number, because the mean of its divisors is an integer number (11600820).

Almost surely, 2^1982762496 is an apocalyptic number.

1982762496 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 1982762496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712262400).

1982762496 is an abundant number, since it is smaller than the sum of its proper divisors (5441762304).

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

1982762496 is a wasteful number, since it uses less digits than its factorization.

1982762496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1982762496 is about 44528.2213433234. The cubic root of 1982762496 is about 1256.2909518394.

The spelling of 1982762496 in words is "one billion, nine hundred eighty-two million, seven hundred sixty-two thousand, four hundred ninety-six".