2544462240 has 48 divisors (see below), whose sum is σ = 8015057568. Its totient is φ = 678523136.

The previous prime is 2544462227. The next prime is 2544462253. The reversal of 2544462240 is 422644452.

It is an interprime number because it is at equal distance from previous prime (2544462227) and next prime (2544462253).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2650002 + ... + 2650961.

It is an arithmetic number, because the mean of its divisors is an integer number (166980366).

Almost surely, 2^2544462240 is an apocalyptic number.

2544462240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2544462240 is an abundant number, since it is smaller than the sum of its proper divisors (5470595328).

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

2544462240 is a wasteful number, since it uses less digits than its factorization.

2544462240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300981 (or 5300973 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The square root of 2544462240 is about 50442.6628956085. The cubic root of 2544462240 is about 1365.2075145068.

It can be divided in two parts, 254446 and 2240, that added together give a triangular number (256686 = T₇₁₆).

The spelling of 2544462240 in words is "two billion, five hundred forty-four million, four hundred sixty-two thousand, two hundred forty".