2078049853440 has 1344 divisors, whose sum is σ = 8275225780224. Its totient is φ = 477757440000.

The previous prime is 2078049853433. The next prime is 2078049853469. The reversal of 2078049853440 is 443589408702.

2078049853440 is a `hidden beast` number, since 2 + 0 + 7 + 80 + 49 + 85 + 3 + 440 = 666.

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, 7668080505 + ... + 7668080775.

Almost surely, 2^{2078049853440} is an apocalyptic number.

2078049853440 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 2078049853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137612890112).

2078049853440 is an abundant number, since it is smaller than the sum of its proper divisors (6197175926784).

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

2078049853440 is a wasteful number, since it uses less digits than its factorization.

2078049853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2078049853440 in words is "two trillion, seventy-eight billion, forty-nine million, eight hundred fifty-three thousand, four hundred forty".