2544136140 has 288 divisors, whose sum is σ = 8954620416. Its totient is φ = 528353280.

The previous prime is 2544136123. The next prime is 2544136159. The reversal of 2544136140 is 416314452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2544136098 and 2544136107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5181295 + ... + 5181785.

It is an arithmetic number, because the mean of its divisors is an integer number (31092432).

Almost surely, 2^2544136140 is an apocalyptic number.

2544136140 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 2544136140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477310208).

2544136140 is an abundant number, since it is smaller than the sum of its proper divisors (6410484276).

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

2544136140 is a wasteful number, since it uses less digits than its factorization.

2544136140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2544136140 is about 50439.4304091551. The cubic root of 2544136140 is about 1365.1491900426.

The spelling of 2544136140 in words is "two billion, five hundred forty-four million, one hundred thirty-six thousand, one hundred forty".