2469849332832 has 288 divisors, whose sum is σ = 8410142587392. Its totient is φ = 698394783744.

The previous prime is 2469849332761. The next prime is 2469849332833. The reversal of 2469849332832 is 2382339489642.

It is a happy number.

2469849332832 is a `hidden beast` number, since 2 + 4 + 6 + 98 + 493 + 3 + 28 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2469849332832² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 2469849332832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2469849332833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5046013 + ... + 5513795.

It is an arithmetic number, because the mean of its divisors is an integer number (29201883984).

Almost surely, 2^{2469849332832} 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 2469849332832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205071293696).

2469849332832 is an abundant number, since it is smaller than the sum of its proper divisors (5940293254560).

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

2469849332832 is an equidigital number, since it uses as much as digits as its factorization.

2469849332832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467912 (or 467892 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 2469849332832 in words is "two trillion, four hundred sixty-nine billion, eight hundred forty-nine million, three hundred thirty-two thousand, eight hundred thirty-two".