2649848400 has 180 divisors, whose sum is σ = 9595823328. Its totient is φ = 675882240.

The previous prime is 2649848393. The next prime is 2649848441. The reversal of 2649848400 is 48489462.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66799 + ... + 98801.

Almost surely, 2^2649848400 is an apocalyptic number.

2649848400 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 2649848400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4797911664).

2649848400 is an abundant number, since it is smaller than the sum of its proper divisors (6945974928).

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

2649848400 is a wasteful number, since it uses less digits than its factorization.

2649848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32050 (or 32036 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2649848400 is about 51476.6782145080. The cubic root of 2649848400 is about 1383.8011146822.

The spelling of 2649848400 in words is "two billion, six hundred forty-nine million, eight hundred forty-eight thousand, four hundred".