2264072464500 has 576 divisors, whose sum is σ = 8467653841920. Its totient is φ = 464774688000.

The previous prime is 2264072464481. The next prime is 2264072464513. The reversal of 2264072464500 is 54642704622.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 67088631 + ... + 67122369.

It is an arithmetic number, because the mean of its divisors is an integer number (14700787920).

Almost surely, 2^{2264072464500} is an apocalyptic number.

2264072464500 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 2264072464500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233826920960).

2264072464500 is an abundant number, since it is smaller than the sum of its proper divisors (6203581377420).

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

2264072464500 is a wasteful number, since it uses less digits than its factorization.

2264072464500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33869 (or 33850 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 2264072464500 in words is "two trillion, two hundred sixty-four billion, seventy-two million, four hundred sixty-four thousand, five hundred".