2077934976 has 192 divisors, whose sum is σ = 6515964000. Its totient is φ = 631775232.

The previous prime is 2077934959. The next prime is 2077934987. The reversal of 2077934976 is 6794397702.

2077934976 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332085 + ... + 1333643.

Almost surely, 2^2077934976 is an apocalyptic number.

2077934976 is a gapful number since it is divisible by the number (26) 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 2077934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257982000).

2077934976 is an abundant number, since it is smaller than the sum of its proper divisors (4438029024).

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

2077934976 is a wasteful number, since it uses less digits than its factorization.

2077934976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 2077934976 is about 45584.3720588537. The cubic root of 2077934976 is about 1276.0782832119.

It can be divided in two parts, 20779 and 34976, that added together give a palindrome (55755).

The spelling of 2077934976 in words is "two billion, seventy-seven million, nine hundred thirty-four thousand, nine hundred seventy-six".