2049263634240 has 672 divisors, whose sum is σ = 7790091079680. Its totient is φ = 511568234496.

The previous prime is 2049263634191. The next prime is 2049263634251. The reversal of 2049263634240 is 424363629402.

2049263634240 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 2 + 6 + 3 + 634 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 84046371 + ... + 84070749.

It is an arithmetic number, because the mean of its divisors is an integer number (11592397440).

Almost surely, 2^{2049263634240} is an apocalyptic number.

2049263634240 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 2049263634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895045539840).

2049263634240 is an abundant number, since it is smaller than the sum of its proper divisors (5740827445440).

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

2049263634240 is a wasteful number, since it uses less digits than its factorization.

2049263634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24481 (or 24459 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 2049263634240 in words is "two trillion, forty-nine billion, two hundred sixty-three million, six hundred thirty-four thousand, two hundred forty".