1602314512240 has 240 divisors, whose sum is σ = 4178300652000. Its totient is φ = 570510839808.

The previous prime is 1602314512237. The next prime is 1602314512247. The reversal of 1602314512240 is 422154132061.

It is a super-2 number, since 2×1602314512240² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1602314512247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 390901711 + ... + 390905809.

It is an arithmetic number, because the mean of its divisors is an integer number (17409586050).

Almost surely, 2^{1602314512240} is an apocalyptic number.

1602314512240 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 1602314512240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089150326000).

1602314512240 is an abundant number, since it is smaller than the sum of its proper divisors (2575986139760).

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

1602314512240 is a wasteful number, since it uses less digits than its factorization.

1602314512240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5164 (or 5145 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 1602314512240 in words is "one trillion, six hundred two billion, three hundred fourteen million, five hundred twelve thousand, two hundred forty".