2049614765440 has 256 divisors, whose sum is σ = 5438650314240. Its totient is φ = 732410265600.

The previous prime is 2049614765431. The next prime is 2049614765449. The reversal of 2049614765440 is 445674169402.

It is an interprime number because it is at equal distance from previous prime (2049614765431) and next prime (2049614765449).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049614765449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94979932 + ... + 95001508.

It is an arithmetic number, because the mean of its divisors is an integer number (21244727790).

Almost surely, 2^{2049614765440} is an apocalyptic number.

2049614765440 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 2049614765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719325157120).

2049614765440 is an abundant number, since it is smaller than the sum of its proper divisors (3389035548800).

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

2049614765440 is a wasteful number, since it uses less digits than its factorization.

2049614765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21841 (or 21829 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 2049614765440 in words is "two trillion, forty-nine billion, six hundred fourteen million, seven hundred sixty-five thousand, four hundred forty".