2649542400 has 540 divisors, whose sum is σ = 10350509400. Its totient is φ = 666869760.

The previous prime is 2649542387. The next prime is 2649542417. The reversal of 2649542400 is 42459462.

2649542400 is a `hidden beast` number, since 2 + 649 + 5 + 4 + 2 + 4 + 0 + 0 = 666.

2649542400 is digitally balanced in base 2, because in such base 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 (540).

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 59 ways as a sum of consecutive naturals, for example, 9849466 + ... + 9849734.

It is an arithmetic number, because the mean of its divisors is an integer number (19167610).

Almost surely, 2^2649542400 is an apocalyptic number.

2649542400 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 2649542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175254700).

2649542400 is an abundant number, since it is smaller than the sum of its proper divisors (7700967000).

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

2649542400 is a wasteful number, since it uses less digits than its factorization.

2649542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

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

The square root of 2649542400 is about 51473.7059089396. The cubic root of 2649542400 is about 1383.7478462962.

The spelling of 2649542400 in words is "two billion, six hundred forty-nine million, five hundred forty-two thousand, four hundred".