2270953669040 has 160 divisors (see below), whose sum is σ = 6117472563840. Its totient is φ = 767918333952.

The previous prime is 2270953669013. The next prime is 2270953669063. The reversal of 2270953669040 is 409663590722.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19729094 + ... + 19843866.

It is an arithmetic number, because the mean of its divisors is an integer number (38234203524).

Almost surely, 2^{2270953669040} is an apocalyptic number.

2270953669040 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 2270953669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058736281920).

2270953669040 is an abundant number, since it is smaller than the sum of its proper divisors (3846518894800).

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

2270953669040 is a wasteful number, since it uses less digits than its factorization.

2270953669040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115279 (or 115273 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 53.

The spelling of 2270953669040 in words is "two trillion, two hundred seventy billion, nine hundred fifty-three million, six hundred sixty-nine thousand, forty".