2539428480 has 192 divisors, whose sum is σ = 8983676520. Its totient is φ = 660602880.

The previous prime is 2539428469. The next prime is 2539428509. The reversal of 2539428480 is 848249352.

It can be written as a sum of positive squares in 4 ways, for example, as 2020682304 + 518746176 = 44952^2 + 22776^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2539428480² = 12897394010070220800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230784 + ... + 241536.

Almost surely, 2^2539428480 is an apocalyptic number.

2539428480 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 2539428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491838260).

2539428480 is an abundant number, since it is smaller than the sum of its proper divisors (6444248040).

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

2539428480 is a wasteful number, since it uses less digits than its factorization.

2539428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10819 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2539428480 is about 50392.7423345862. The cubic root of 2539428480 is about 1364.3066478309.

The spelling of 2539428480 in words is "two billion, five hundred thirty-nine million, four hundred twenty-eight thousand, four hundred eighty".