2534428480 has 56 divisors (see below), whose sum is σ = 6039858888. Its totient is φ = 1012973568.

The previous prime is 2534428453. The next prime is 2534428499. The reversal of 2534428480 is 848244352.

It can be written as a sum of positive squares in 4 ways, for example, as 438986304 + 2095442176 = 20952^2 + 45776^2 .

It is a super-2 number, since 2×2534428480² = 12846655440470220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 566412 + ... + 570868.

It is an arithmetic number, because the mean of its divisors is an integer number (107854623).

Almost surely, 2^2534428480 is an apocalyptic number.

2534428480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2534428480 is an abundant number, since it is smaller than the sum of its proper divisors (3505430408).

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

2534428480 is a wasteful number, since it uses less digits than its factorization.

2534428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251 (or 6241 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The square root of 2534428480 is about 50343.1075719408. The cubic root of 2534428480 is about 1363.4106437004.

It can be divided in two parts, 25344 and 28480, that added together give a square (53824 = 232²).

The spelling of 2534428480 in words is "two billion, five hundred thirty-four million, four hundred twenty-eight thousand, four hundred eighty".