2512041984 has 240 divisors, whose sum is σ = 7908100200. Its totient is φ = 792281088.

The previous prime is 2512041977. The next prime is 2512041989. The reversal of 2512041984 is 4891402152.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512041989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3151474 + ... + 3152270.

Almost surely, 2^2512041984 is an apocalyptic number.

2512041984 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 2512041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954050100).

2512041984 is an abundant number, since it is smaller than the sum of its proper divisors (5396058216).

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

2512041984 is an equidigital number, since it uses as much as digits as its factorization.

2512041984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2512041984 is about 50120.2751788136. The cubic root of 2512041984 is about 1359.3844503885.

The spelling of 2512041984 in words is "two billion, five hundred twelve million, forty-one thousand, nine hundred eighty-four".