2201268756480 has 448 divisors, whose sum is σ = 7478662825728. Its totient is φ = 550942801920.

The previous prime is 2201268756473. The next prime is 2201268756487. The reversal of 2201268756480 is 846578621022.

It is an interprime number because it is at equal distance from previous prime (2201268756473) and next prime (2201268756487).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (2201268756487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879450909 + ... + 879453411.

Almost surely, 2^{2201268756480} is an apocalyptic number.

2201268756480 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 2201268756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739331412864).

2201268756480 is an abundant number, since it is smaller than the sum of its proper divisors (5277394069248).

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

2201268756480 is a wasteful number, since it uses less digits than its factorization.

2201268756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 2201268756480 in words is "two trillion, two hundred one billion, two hundred sixty-eight million, seven hundred fifty-six thousand, four hundred eighty".