2490789600 has 648 divisors, whose sum is σ = 10035763920. Its totient is φ = 579870720.

The previous prime is 2490789589. The next prime is 2490789601. The reversal of 2490789600 is 69870942.

It is a happy number.

2490789600 is a `hidden beast` number, since 2 + 490 + 78 + 96 + 0 + 0 = 666.

2490789600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490789601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 27986356 + ... + 27986444.

It is an arithmetic number, because the mean of its divisors is an integer number (15487290).

Almost surely, 2^2490789600 is an apocalyptic number.

2490789600 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 2490789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017881960).

2490789600 is an abundant number, since it is smaller than the sum of its proper divisors (7544974320).

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

2490789600 is a wasteful number, since it uses less digits than its factorization.

2490789600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2490789600 is about 49907.8110119047. The cubic root of 2490789600 is about 1355.5400324698.

The spelling of 2490789600 in words is "two billion, four hundred ninety million, seven hundred eighty-nine thousand, six hundred".