2302263017040 has 160 divisors (see below), whose sum is σ = 8158126417920. Its totient is φ = 526132357632.

The previous prime is 2302263017027. The next prime is 2302263017167. The reversal of 2302263017040 is 407103622032.

It is a Cunningham number, because it is equal to 1517321²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2302263016989 and 2302263017007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8977477 + ... + 9230363.

It is an arithmetic number, because the mean of its divisors is an integer number (50988290112).

Almost surely, 2^{2302263017040} is an apocalyptic number.

2302263017040 is a gapful number since it is divisible by the number (20) 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 2302263017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079063208960).

2302263017040 is an abundant number, since it is smaller than the sum of its proper divisors (5855863400880).

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

2302263017040 is a wasteful number, since it uses less digits than its factorization.

2302263017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258329 (or 258323 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

Adding to 2302263017040 its reverse (407103622032), we get a palindrome (2709366639072).

The spelling of 2302263017040 in words is "two trillion, three hundred two billion, two hundred sixty-three million, seventeen thousand, forty".