2049526400640 has 1024 divisors, whose sum is σ = 7296998400000. Its totient is φ = 487252426752.

The previous prime is 2049526400617. The next prime is 2049526400657. The reversal of 2049526400640 is 460046259402.

It is a junction number, because it is equal to n+sod(n) for n = 2049526400592 and 2049526400601.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 11449868071 + ... + 11449868249.

It is an arithmetic number, because the mean of its divisors is an integer number (7125975000).

Almost surely, 2^{2049526400640} is an apocalyptic number.

2049526400640 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 2049526400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648499200000).

2049526400640 is an abundant number, since it is smaller than the sum of its proper divisors (5247471999360).

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

2049526400640 is a wasteful number, since it uses less digits than its factorization.

2049526400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 2049526400640 in words is "two trillion, forty-nine billion, five hundred twenty-six million, four hundred thousand, six hundred forty".