2559041940 has 288 divisors, whose sum is σ = 9161220096. Its totient is φ = 522063360.

The previous prime is 2559041921. The next prime is 2559041951. The reversal of 2559041940 is 491409552.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2199799 + ... + 2200961.

It is an arithmetic number, because the mean of its divisors is an integer number (31809792).

Almost surely, 2^2559041940 is an apocalyptic number.

2559041940 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 2559041940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580610048).

2559041940 is an abundant number, since it is smaller than the sum of its proper divisors (6602178156).

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

2559041940 is a wasteful number, since it uses less digits than its factorization.

2559041940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 2559041940 is about 50586.9740150565. The cubic root of 2559041940 is about 1367.8100840115.

The spelling of 2559041940 in words is "two billion, five hundred fifty-nine million, forty-one thousand, nine hundred forty".