2534388480 has 288 divisors, whose sum is σ = 9687088320. Its totient is φ = 623738880.

The previous prime is 2534388463. The next prime is 2534388499. The reversal of 2534388480 is 848834352.

2534388480 is a `hidden beast` number, since 2 + 53 + 43 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 446460 + ... + 452100.

Almost surely, 2^2534388480 is an apocalyptic number.

2534388480 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 2534388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843544160).

2534388480 is an abundant number, since it is smaller than the sum of its proper divisors (7152699840).

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

2534388480 is a wasteful number, since it uses less digits than its factorization.

2534388480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2534388480 is about 50342.7102965265. The cubic root of 2534388480 is about 1363.4034709179.

The spelling of 2534388480 in words is "two billion, five hundred thirty-four million, three hundred eighty-eight thousand, four hundred eighty".