2580379200 has 1008 divisors, whose sum is σ = 11633362560. Its totient is φ = 553512960.

The previous prime is 2580379183. The next prime is 2580379201. The reversal of 2580379200 is 29730852.

It is a happy number.

2580379200 is a `hidden beast` number, since 2 + 5 + 80 + 379 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2580379201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48686374 + ... + 48686426.

Almost surely, 2^2580379200 is an apocalyptic number.

2580379200 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 2580379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816681280).

2580379200 is an abundant number, since it is smaller than the sum of its proper divisors (9052983360).

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

2580379200 is a wasteful number, since it uses less digits than its factorization.

2580379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2580379200 is about 50797.4330060093. The cubic root of 2580379200 is about 1371.6011613149.

The spelling of 2580379200 in words is "two billion, five hundred eighty million, three hundred seventy-nine thousand, two hundred".