2518873713216 has 945 divisors, whose sum is σ = 9008957426931. Its totient is φ = 693852977664.

The previous prime is 2518873713211. The next prime is 2518873713217. The reversal of 2518873713216 is 6123173788152.

The square root of 2518873713216 is 1587096.

It is a perfect power (a square), and thus also a powerful number.

2518873713216 is a `hidden beast` number, since 2 + 5 + 188 + 73 + 71 + 321 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3386880) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (2518873713211) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 37595130015 + ... + 37595130081.

Almost surely, 2^{2518873713216} is an apocalyptic number.

2518873713216 is the 1587096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2518873713216

2518873713216 is an abundant number, since it is smaller than the sum of its proper divisors (6490083713715).

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

2518873713216 is an frugal number, since it uses more digits than its factorization.

2518873713216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 126 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 2518873713216 in words is "two trillion, five hundred eighteen billion, eight hundred seventy-three million, seven hundred thirteen thousand, two hundred sixteen".