1962040320 has 528 divisors, whose sum is σ = 7510688640. Its totient is φ = 489701376.

The previous prime is 1962040307. The next prime is 1962040331. The reversal of 1962040320 is 230402691.

1962040320 is a `hidden beast` number, since 1 + 9 + 620 + 4 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23638999 + ... + 23639081.

Almost surely, 2^1962040320 is an apocalyptic number.

1962040320 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 1962040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755344320).

1962040320 is an abundant number, since it is smaller than the sum of its proper divisors (5548648320).

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

1962040320 is an equidigital number, since it uses as much as digits as its factorization.

1962040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1962040320 is about 44294.9243141920. The cubic root of 1962040320 is about 1251.8990483645.

The spelling of 1962040320 in words is "one billion, nine hundred sixty-two million, forty thousand, three hundred twenty".