2590537950 has 672 divisors, whose sum is σ = 9836370432. Its totient is φ = 489888000.

The previous prime is 2590537913. The next prime is 2590537951. The reversal of 2590537950 is 597350952.

2590537950 is a `hidden beast` number, since 2 + 590 + 5 + 3 + 7 + 9 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2590537896 and 2590537905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590537951) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 36486415 + ... + 36486485.

It is an arithmetic number, because the mean of its divisors is an integer number (14637456).

Almost surely, 2^2590537950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590537950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918185216).

2590537950 is an abundant number, since it is smaller than the sum of its proper divisors (7245832482).

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

2590537950 is a wasteful number, since it uses less digits than its factorization.

2590537950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 2590537950 is about 50897.3275329855. The cubic root of 2590537950 is about 1373.3987663365.

The spelling of 2590537950 in words is "two billion, five hundred ninety million, five hundred thirty-seven thousand, nine hundred fifty".