2518242540 has 192 divisors, whose sum is σ = 7967393280. Its totient is φ = 588994560.

The previous prime is 2518242527. The next prime is 2518242541. The reversal of 2518242540 is 452428152.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2518242541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2525322 + ... + 2526318.

It is an arithmetic number, because the mean of its divisors is an integer number (41496840).

Almost surely, 2^2518242540 is an apocalyptic number.

2518242540 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 2518242540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983696640).

2518242540 is an abundant number, since it is smaller than the sum of its proper divisors (5449150740).

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

2518242540 is a wasteful number, since it uses less digits than its factorization.

2518242540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 2518242540 is about 50182.0938184130. The cubic root of 2518242540 is about 1360.5020025387.

The spelling of 2518242540 in words is "two billion, five hundred eighteen million, two hundred forty-two thousand, five hundred forty".