1962540320 has 96 divisors (see below), whose sum is σ = 5210376192. Its totient is φ = 693107712.

The previous prime is 1962540311. The next prime is 1962540331. The reversal of 1962540320 is 230452691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27329 + ... + 68351.

It is an arithmetic number, because the mean of its divisors is an integer number (54274752).

Almost surely, 2^1962540320 is an apocalyptic number.

1962540320 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 1962540320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605188096).

1962540320 is an abundant number, since it is smaller than the sum of its proper divisors (3247835872).

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

1962540320 is a wasteful number, since it uses less digits than its factorization.

1962540320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41074 (or 41066 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1962540320 is about 44300.5679421833. The cubic root of 1962540320 is about 1252.0053826319.

The spelling of 1962540320 in words is "one billion, nine hundred sixty-two million, five hundred forty thousand, three hundred twenty".