1962132480 has 792 divisors, whose sum is σ = 8736923520. Its totient is φ = 402554880.

The previous prime is 1962132437. The next prime is 1962132481. The reversal of 1962132480 is 842312691.

1962132480 is a `hidden beast` number, since 1 + 9 + 621 + 3 + 24 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is not an unprimeable number, because it can be changed into a prime (1962132481) 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 71 ways as a sum of consecutive naturals, for example, 24837081 + ... + 24837159.

Almost surely, 2^1962132480 is an apocalyptic number.

1962132480 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 1962132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368461760).

1962132480 is an abundant number, since it is smaller than the sum of its proper divisors (6774791040).

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

1962132480 is a wasteful number, since it uses less digits than its factorization.

1962132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1962132480 is about 44295.9646017558. The cubic root of 1962132480 is about 1251.9186492546.

The spelling of 1962132480 in words is "one billion, nine hundred sixty-two million, one hundred thirty-two thousand, four hundred eighty".