2077262880 has 768 divisors, whose sum is σ = 8825241600. Its totient is φ = 406425600.

The previous prime is 2077262839. The next prime is 2077262897. The reversal of 2077262880 is 882627702.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56142222 + ... + 56142258.

It is an arithmetic number, because the mean of its divisors is an integer number (11491200).

Almost surely, 2^2077262880 is an apocalyptic number.

2077262880 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 2077262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4412620800).

2077262880 is an abundant number, since it is smaller than the sum of its proper divisors (6747978720).

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

2077262880 is a wasteful number, since it uses less digits than its factorization.

2077262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2077262880 is about 45576.9994624482. Note that the first 3 decimals coincide. The cubic root of 2077262880 is about 1275.9406883395.

The spelling of 2077262880 in words is "two billion, seventy-seven million, two hundred sixty-two thousand, eight hundred eighty".