2590109400 has 192 divisors, whose sum is σ = 8280720000. Its totient is φ = 669312000.

The previous prime is 2590109387. The next prime is 2590109437. The reversal of 2590109400 is 49010952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 5190351 + ... + 5190849.

It is an arithmetic number, because the mean of its divisors is an integer number (43128750).

Almost surely, 2^2590109400 is an apocalyptic number.

2590109400 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 2590109400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140360000).

2590109400 is an abundant number, since it is smaller than the sum of its proper divisors (5690610600).

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

2590109400 is a wasteful number, since it uses less digits than its factorization.

2590109400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 2590109400 is about 50893.1174128683. The cubic root of 2590109400 is about 1373.3230288499.

The spelling of 2590109400 in words is "two billion, five hundred ninety million, one hundred nine thousand, four hundred".