2539971000 has 512 divisors, whose sum is σ = 10243584000. Its totient is φ = 570240000.

The previous prime is 2539970971. The next prime is 2539971001. The reversal of 2539971000 is 1799352.

2539971000 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2539971001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16820925 + ... + 16821075.

It is an arithmetic number, because the mean of its divisors is an integer number (20007000).

Almost surely, 2^2539971000 is an apocalyptic number.

2539971000 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 2539971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5121792000).

2539971000 is an abundant number, since it is smaller than the sum of its proper divisors (7703613000).

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

2539971000 is a wasteful number, since it uses less digits than its factorization.

2539971000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 2539971000 is about 50398.1249651215. The cubic root of 2539971000 is about 1364.4037971102.

The spelling of 2539971000 in words is "two billion, five hundred thirty-nine million, nine hundred seventy-one thousand".