2077494531840 has 1440 divisors, whose sum is σ = 9445576605696. Its totient is φ = 424129167360.

The previous prime is 2077494531733. The next prime is 2077494531887. The reversal of 2077494531840 is 481354947702.

2077494531840 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 4 + 9 + 453 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 292477729 + ... + 292484831.

Almost surely, 2^{2077494531840} is an apocalyptic number.

2077494531840 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 2077494531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722788302848).

2077494531840 is an abundant number, since it is smaller than the sum of its proper divisors (7368082073856).

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

2077494531840 is a wasteful number, since it uses less digits than its factorization.

2077494531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187 (or 7164 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2077494531840 in words is "two trillion, seventy-seven billion, four hundred ninety-four million, five hundred thirty-one thousand, eight hundred forty".