2553513984 has 288 divisors, whose sum is σ = 8752685760. Its totient is φ = 728580096.

The previous prime is 2553513979. The next prime is 2553514037. The reversal of 2553513984 is 4893153552.

2553513984 is a `hidden beast` number, since 2 + 5 + 53 + 513 + 9 + 84 = 666.

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

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, 3483282 + ... + 3484014.

It is an arithmetic number, because the mean of its divisors is an integer number (30391270).

Almost surely, 2^2553513984 is an apocalyptic number.

2553513984 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 2553513984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376342880).

2553513984 is an abundant number, since it is smaller than the sum of its proper divisors (6199171776).

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

2553513984 is an frugal number, since it uses more digits than its factorization.

2553513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 745 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 2553513984 is about 50532.3063396081. The cubic root of 2553513984 is about 1366.8244749229.

The spelling of 2553513984 in words is "two billion, five hundred fifty-three million, five hundred thirteen thousand, nine hundred eighty-four".