2077717460 has 192 divisors, whose sum is σ = 5527388160. Its totient is φ = 638668800.

The previous prime is 2077717451. The next prime is 2077717463. The reversal of 2077717460 is 647177702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077717463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16359917 + ... + 16360043.

It is an arithmetic number, because the mean of its divisors is an integer number (28788480).

Almost surely, 2^2077717460 is an apocalyptic number.

2077717460 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 2077717460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763694080).

2077717460 is an abundant number, since it is smaller than the sum of its proper divisors (3449670700).

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

2077717460 is a wasteful number, since it uses less digits than its factorization.

2077717460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 41.

The square root of 2077717460 is about 45581.9861348757. The cubic root of 2077717460 is about 1276.0337554904.

The spelling of 2077717460 in words is "two billion, seventy-seven million, seven hundred seventeen thousand, four hundred sixty".