1962666048 has 336 divisors, whose sum is σ = 6547656704. Its totient is φ = 507617280.

The previous prime is 1962665989. The next prime is 1962666053. The reversal of 1962666048 is 8406662691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1962665988 and 1962666006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12040815 + ... + 12040977.

Almost surely, 2^1962666048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1962666048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273828352).

1962666048 is an abundant number, since it is smaller than the sum of its proper divisors (4584990656).

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

1962666048 is a wasteful number, since it uses less digits than its factorization.

1962666048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 1962666048 is about 44301.9869531830. The cubic root of 1962666048 is about 1252.0321181797.

The spelling of 1962666048 in words is "one billion, nine hundred sixty-two million, six hundred sixty-six thousand, forty-eight".