2545819200 has 336 divisors, whose sum is σ = 9584862720. Its totient is φ = 656640000.

The previous prime is 2545819141. The next prime is 2545819219. The reversal of 2545819200 is 29185452.

2545819200 is a `hidden beast` number, since 2 + 54 + 581 + 9 + 20 + 0 = 666.

2545819200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1338250 + ... + 1340150.

Almost surely, 2^2545819200 is an apocalyptic number.

2545819200 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 2545819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792431360).

2545819200 is an abundant number, since it is smaller than the sum of its proper divisors (7039043520).

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

2545819200 is a wasteful number, since it uses less digits than its factorization.

2545819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2545819200 is about 50456.1116218838. Note that the first 3 decimals coincide. The cubic root of 2545819200 is about 1365.4501594607.

The spelling of 2545819200 in words is "two billion, five hundred forty-five million, eight hundred nineteen thousand, two hundred".