2545039200 has 288 divisors, whose sum is σ = 9111916800. Its totient is φ = 611891200.

The previous prime is 2545039183. The next prime is 2545039201. The reversal of 2545039200 is 29305452.

2545039200 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545039201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3933277 + ... + 3933923.

It is an arithmetic number, because the mean of its divisors is an integer number (31638600).

Almost surely, 2^2545039200 is an apocalyptic number.

2545039200 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 2545039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555958400).

2545039200 is an abundant number, since it is smaller than the sum of its proper divisors (6566877600).

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

2545039200 is a wasteful number, since it uses less digits than its factorization.

2545039200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2545039200 is about 50448.3815399464. The cubic root of 2545039200 is about 1365.3106942132.

The spelling of 2545039200 in words is "two billion, five hundred forty-five million, thirty-nine thousand, two hundred".