2649484129248 has 240 divisors, whose sum is σ = 8707759608240. Its totient is φ = 783291340800.

The previous prime is 2649484129241. The next prime is 2649484129249. The reversal of 2649484129248 is 8429214849462.

2649484129248 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 484 + 129 + 24 + 8 = 666.

2649484129248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2649484129248² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649484129241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35758 + ... + 2302226.

It is an arithmetic number, because the mean of its divisors is an integer number (36282331701).

Almost surely, 2^{2649484129248} 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 2649484129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353879804120).

2649484129248 is an abundant number, since it is smaller than the sum of its proper divisors (6058275478992).

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

2649484129248 is a wasteful number, since it uses less digits than its factorization.

2649484129248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266543 (or 2266526 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 2649484129248 in words is "two trillion, six hundred forty-nine billion, four hundred eighty-four million, one hundred twenty-nine thousand, two hundred forty-eight".