2049365975040 has 1344 divisors, whose sum is σ = 7932035220480. Its totient is φ = 501397585920.

The previous prime is 2049365975029. The next prime is 2049365975101. The reversal of 2049365975040 is 405795639402.

2049365975040 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 3 + 6 + 597 + 5 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18135982024 + ... + 18135982136.

It is an arithmetic number, because the mean of its divisors is an integer number (5901811920).

Almost surely, 2^{2049365975040} is an apocalyptic number.

2049365975040 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 2049365975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966017610240).

2049365975040 is an abundant number, since it is smaller than the sum of its proper divisors (5882669245440).

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

2049365975040 is a wasteful number, since it uses less digits than its factorization.

2049365975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 2049365975040 in words is "two trillion, forty-nine billion, three hundred sixty-five million, nine hundred seventy-five thousand, forty".