2455544000 has 224 divisors, whose sum is σ = 7486717056. Its totient is φ = 776908800.

The previous prime is 2455543991. The next prime is 2455544011. The reversal of 2455544000 is 4455542.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726314 + ... + 729686.

It is an arithmetic number, because the mean of its divisors is an integer number (33422844).

Almost surely, 2^2455544000 is an apocalyptic number.

2455544000 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 2455544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743358528).

2455544000 is an abundant number, since it is smaller than the sum of its proper divisors (5031173056).

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

2455544000 is a wasteful number, since it uses less digits than its factorization.

2455544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The square root of 2455544000 is about 49553.4458943069. The cubic root of 2455544000 is about 1349.1158362362.

Adding to 2455544000 its reverse (4455542), we get a palindrome (2459999542).

The spelling of 2455544000 in words is "two billion, four hundred fifty-five million, five hundred forty-four thousand".