2202653646240 has 192 divisors, whose sum is σ = 6986943774720. Its totient is φ = 583264281600.

The previous prime is 2202653646239. The next prime is 2202653646287. The reversal of 2202653646240 is 426463562022.

It is a happy number.

It is a super-2 number, since 2×2202653646240² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2202653646192 and 2202653646201.

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, 301440667 + ... + 301447973.

It is an arithmetic number, because the mean of its divisors is an integer number (36390332160).

Almost surely, 2^{2202653646240} is an apocalyptic number.

2202653646240 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 2202653646240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493471887360).

2202653646240 is an abundant number, since it is smaller than the sum of its proper divisors (4784290128480).

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

2202653646240 is a wasteful number, since it uses less digits than its factorization.

2202653646240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11635 (or 11627 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 2202653646240 in words is "two trillion, two hundred two billion, six hundred fifty-three million, six hundred forty-six thousand, two hundred forty".