2049014136576 has 576 divisors, whose sum is σ = 6510877148160. Its totient is φ = 564945223680.

The previous prime is 2049014136569. The next prime is 2049014136583. The reversal of 2049014136576 is 6756314109402.

It is an interprime number because it is at equal distance from previous prime (2049014136569) and next prime (2049014136583).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 887402110 + ... + 887404418.

It is an arithmetic number, because the mean of its divisors is an integer number (11303606160).

Almost surely, 2^{2049014136576} 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 2049014136576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255438574080).

2049014136576 is an abundant number, since it is smaller than the sum of its proper divisors (4461863011584).

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

2049014136576 is a wasteful number, since it uses less digits than its factorization.

2049014136576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 2049014136576 in words is "two trillion, forty-nine billion, fourteen million, one hundred thirty-six thousand, five hundred seventy-six".