2077814882304 has 1088 divisors, whose sum is σ = 7566466688000. Its totient is φ = 557256278016.

The previous prime is 2077814882291. The next prime is 2077814882321. The reversal of 2077814882304 is 4032884187702.

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 63 ways as a sum of consecutive naturals, for example, 19062521802 + ... + 19062521910.

Almost surely, 2^{2077814882304} is an apocalyptic number.

2077814882304 is a gapful number since it is divisible by the number (24) 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 2077814882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783233344000).

2077814882304 is an abundant number, since it is smaller than the sum of its proper divisors (5488651805696).

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

2077814882304 is an frugal number, since it uses more digits than its factorization.

2077814882304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 2077814882304 in words is "two trillion, seventy-seven billion, eight hundred fourteen million, eight hundred eighty-two thousand, three hundred four".