2264748498432 has 640 divisors, whose sum is σ = 8075761689600. Its totient is φ = 612930060288.

The previous prime is 2264748498407. The next prime is 2264748498469. The reversal of 2264748498432 is 2348948474622.

It is a happy number.

2264748498432 is a `hidden beast` number, since 2 + 2 + 6 + 47 + 484 + 9 + 84 + 32 = 666.

It is a super-2 number, since 2×2264748498432² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2264748498432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148724803 + ... + 148740029.

It is an arithmetic number, because the mean of its divisors is an integer number (12618377640).

Almost surely, 2^{2264748498432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264748498432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4037880844800).

2264748498432 is an abundant number, since it is smaller than the sum of its proper divisors (5811013191168).

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

2264748498432 is a wasteful number, since it uses less digits than its factorization.

2264748498432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15343 (or 15321 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 2264748498432 in words is "two trillion, two hundred sixty-four billion, seven hundred forty-eight million, four hundred ninety-eight thousand, four hundred thirty-two".