2264070448640 has 1920 divisors, whose sum is σ = 7979596416000. Its totient is φ = 608662978560.

The previous prime is 2264070448613. The next prime is 2264070448751. The reversal of 2264070448640 is 468440704622.

It is a super-3 number, since 3×2264070448640³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31014663644 + ... + 31014663716.

It is an arithmetic number, because the mean of its divisors is an integer number (4156039800).

Almost surely, 2^{2264070448640} is an apocalyptic number.

2264070448640 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 2264070448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989798208000).

2264070448640 is an abundant number, since it is smaller than the sum of its proper divisors (5715525967360).

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

2264070448640 is a wasteful number, since it uses less digits than its factorization.

2264070448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 47.

The spelling of 2264070448640 in words is "two trillion, two hundred sixty-four billion, seventy million, four hundred forty-eight thousand, six hundred forty".