2654006400 has 144 divisors (see below), whose sum is σ = 9470205810. Its totient is φ = 707727360.

The previous prime is 2654006389. The next prime is 2654006401. The reversal of 2654006400 is 46004562.

It is a happy number.

2654006400 is a `hidden beast` number, since 2 + 654 + 0 + 0 + 6 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2215020096 + 438986304 = 47064^2 + 20952^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2654006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17277 + ... + 74876.

Almost surely, 2^2654006400 is an apocalyptic number.

2654006400 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 2654006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735102905).

2654006400 is an abundant number, since it is smaller than the sum of its proper divisors (6816199410).

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

2654006400 is a wasteful number, since it uses less digits than its factorization.

2654006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92183 (or 92163 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2654006400 is about 51517.0496049609. The cubic root of 2654006400 is about 1384.5245319305.

The spelling of 2654006400 in words is "two billion, six hundred fifty-four million, six thousand, four hundred".