2549642400 has 288 divisors, whose sum is σ = 9449395200. Its totient is φ = 663091200.

The previous prime is 2549642369. The next prime is 2549642411. The reversal of 2549642400 is 42469452.

2549642400 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 642 + 4 + 0 + 0 = 666.

2549642400 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 tau number, because it is divible by the number of its divisors (288).

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, 884161 + ... + 887039.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^2549642400 is an apocalyptic number.

2549642400 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 2549642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724697600).

2549642400 is an abundant number, since it is smaller than the sum of its proper divisors (6899752800).

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

2549642400 is a wasteful number, since it uses less digits than its factorization.

2549642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2549642400 is about 50493.9838000529. The cubic root of 2549642400 is about 1366.1333420393.

It can be divided in two parts, 25496 and 42400, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 2549642400 in words is "two billion, five hundred forty-nine million, six hundred forty-two thousand, four hundred".