2581678849152 has 192 divisors, whose sum is σ = 7583670264960. Its totient is φ = 777460469760.

The previous prime is 2581678849091. The next prime is 2581678849177. The reversal of 2581678849152 is 2519488761852.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2581678849152² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2626902 + ... + 3473322.

It is an arithmetic number, because the mean of its divisors is an integer number (39498282630).

Almost surely, 2^{2581678849152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2581678849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791835132480).

2581678849152 is an abundant number, since it is smaller than the sum of its proper divisors (5001991415808).

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

2581678849152 is a wasteful number, since it uses less digits than its factorization.

2581678849152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846511 (or 846486 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 66.

The spelling of 2581678849152 in words is "two trillion, five hundred eighty-one billion, six hundred seventy-eight million, eight hundred forty-nine thousand, one hundred fifty-two".