2530653984 has 72 divisors (see below), whose sum is σ = 7260326892. Its totient is φ = 836075520.

The previous prime is 2530653971. The next prime is 2530654003. The reversal of 2530653984 is 4893560352.

2530653984 is a `hidden beast` number, since 2 + 5 + 30 + 6 + 539 + 84 = 666.

2530653984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2073891600 + 456762384 = 45540^2 + 21372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6337 + ... + 71424.

Almost surely, 2^2530653984 is an apocalyptic number.

2530653984 is a gapful number since it is divisible by the number (24) 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 2530653984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630163446).

2530653984 is an abundant number, since it is smaller than the sum of its proper divisors (4729672908).

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

2530653984 is a wasteful number, since it uses less digits than its factorization.

2530653984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77890 (or 77879 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2530653984 is about 50305.6058903975. The cubic root of 2530653984 is about 1362.7334700105.

It can be divided in two parts, 253065 and 3984, that added together give a square (257049 = 507²).

The spelling of 2530653984 in words is "two billion, five hundred thirty million, six hundred fifty-three thousand, nine hundred eighty-four".