2543028480 has 144 divisors (see below), whose sum is σ = 9024341760. Its totient is φ = 678131712.

The previous prime is 2543028437. The next prime is 2543028493. The reversal of 2543028480 is 848203452.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2543028480² = 12933987700182220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2232 + ... + 71351.

It is an arithmetic number, because the mean of its divisors is an integer number (62669040).

Almost surely, 2^2543028480 is an apocalyptic number.

2543028480 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 2543028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512170880).

2543028480 is an abundant number, since it is smaller than the sum of its proper divisors (6481313280).

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

2543028480 is an equidigital number, since it uses as much as digits as its factorization.

2543028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73613 (or 73593 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2543028480 is about 50428.4491135708. The cubic root of 2543028480 is about 1364.9510428040.

The spelling of 2543028480 in words is "two billion, five hundred forty-three million, twenty-eight thousand, four hundred eighty".