2077948800 has 288 divisors, whose sum is σ = 7739437680. Its totient is φ = 529858560.

The previous prime is 2077948781. The next prime is 2077948849. The reversal of 2077948800 is 88497702.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 660832 + ... + 663968.

Almost surely, 2^2077948800 is an apocalyptic number.

2077948800 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 2077948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869718840).

2077948800 is an abundant number, since it is smaller than the sum of its proper divisors (5661488880).

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

2077948800 is a wasteful number, since it uses less digits than its factorization.

2077948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2077948800 is about 45584.5236895155. The cubic root of 2077948800 is about 1276.0811130193.

The spelling of 2077948800 in words is "two billion, seventy-seven million, nine hundred forty-eight thousand, eight hundred".