2641284993024 has 728 divisors, whose sum is σ = 8532556115832. Its totient is φ = 814098677760.

The previous prime is 2641284993023. The next prime is 2641284993043. The reversal of 2641284993024 is 4203994821462.

2641284993024 is a `hidden beast` number, since 2 + 6 + 4 + 128 + 499 + 3 + 0 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2869530624 + 2638415462400 = 53568^2 + 1624320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2641284993023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3096464982 + ... + 3096465834.

Almost surely, 2^{2641284993024} is an apocalyptic number.

2641284993024 is a gapful number since it is divisible by the number (24) 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 2641284993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266278057916).

2641284993024 is an abundant number, since it is smaller than the sum of its proper divisors (5891271122808).

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

2641284993024 is an frugal number, since it uses more digits than its factorization.

2641284993024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2641284993024 in words is "two trillion, six hundred forty-one billion, two hundred eighty-four million, nine hundred ninety-three thousand, twenty-four".