1935340248340 has 72 divisors (see below), whose sum is σ = 4336205007960. Its totient is φ = 725416531968.

The previous prime is 1935340248329. The next prime is 1935340248341. The reversal of 1935340248340 is 438420435391.

It can be written as a sum of positive squares in 12 ways, for example, as 38886262416 + 1896453985924 = 197196^2 + 1377118^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1935340248341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592542 + ... + 2054698.

It is an arithmetic number, because the mean of its divisors is an integer number (60225069555).

Almost surely, 2^{1935340248340} is an apocalyptic number.

1935340248340 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 1935340248340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168102503980).

1935340248340 is an abundant number, since it is smaller than the sum of its proper divisors (2400864759620).

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

1935340248340 is a wasteful number, since it uses less digits than its factorization.

1935340248340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462429 (or 1462410 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 1935340248340 in words is "one trillion, nine hundred thirty-five billion, three hundred forty million, two hundred forty-eight thousand, three hundred forty".