2545550400 has 168 divisors, whose sum is σ = 8639982720. Its totient is φ = 655370240.

The previous prime is 2545550393. The next prime is 2545550407. The reversal of 2545550400 is 40555452.

It is an interprime number because it is at equal distance from previous prime (2545550393) and next prime (2545550407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2545550407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130057 + ... + 148343.

Almost surely, 2^2545550400 is an apocalyptic number.

2545550400 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 2545550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319991360).

2545550400 is an abundant number, since it is smaller than the sum of its proper divisors (6094432320).

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

2545550400 is a wasteful number, since it uses less digits than its factorization.

2545550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18341 (or 18326 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 2545550400 is about 50453.4478504690. The cubic root of 2545550400 is about 1365.4021008081.

It can be divided in two parts, 25455 and 50400, that added together give a triangular number (75855 = T₃₈₉).

The spelling of 2545550400 in words is "two billion, five hundred forty-five million, five hundred fifty thousand, four hundred".