2080544400 has 480 divisors, whose sum is σ = 8214474240. Its totient is φ = 495936000.

The previous prime is 2080544399. The next prime is 2080544407. The reversal of 2080544400 is 44450802.

2080544400 is a `hidden beast` number, since 2 + 0 + 80 + 544 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2080544407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9860295 + ... + 9860505.

It is an arithmetic number, because the mean of its divisors is an integer number (17113488).

Almost surely, 2^2080544400 is an apocalyptic number.

2080544400 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 2080544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107237120).

2080544400 is an abundant number, since it is smaller than the sum of its proper divisors (6133929840).

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

2080544400 is a wasteful number, since it uses less digits than its factorization.

2080544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2080544400 is about 45612.9849933108. The cubic root of 2080544400 is about 1276.6122165747.

The spelling of 2080544400 in words is "two billion, eighty million, five hundred forty-four thousand, four hundred".