2618866741920 has 1536 divisors, whose sum is σ = 10615186391040. Its totient is φ = 532998144000.

The previous prime is 2618866741879. The next prime is 2618866741943. The reversal of 2618866741920 is 291476688162.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8530510407 + ... + 8530510713.

It is an arithmetic number, because the mean of its divisors is an integer number (6910928640).

Almost surely, 2^{2618866741920} is an apocalyptic number.

2618866741920 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 2618866741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307593195520).

2618866741920 is an abundant number, since it is smaller than the sum of its proper divisors (7996319649120).

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

2618866741920 is a wasteful number, since it uses less digits than its factorization.

2618866741920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 2618866741920 in words is "two trillion, six hundred eighteen billion, eight hundred sixty-six million, seven hundred forty-one thousand, nine hundred twenty".