2378131007616 has 1024 divisors, whose sum is σ = 8982005760000. Its totient is φ = 602485309440.

The previous prime is 2378131007579. The next prime is 2378131007677. The reversal of 2378131007616 is 6167001318732.

2378131007616 is a `hidden beast` number, since 2 + 3 + 7 + 8 + 13 + 10 + 0 + 7 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2179771231 + ... + 2179772321.

It is an arithmetic number, because the mean of its divisors is an integer number (8771490000).

Almost surely, 2^{2378131007616} is an apocalyptic number.

2378131007616 is a gapful number since it is divisible by the number (26) 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 2378131007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491002880000).

2378131007616 is an abundant number, since it is smaller than the sum of its proper divisors (6603874752384).

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

2378131007616 is a wasteful number, since it uses less digits than its factorization.

2378131007616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 2378131007616 in words is "two trillion, three hundred seventy-eight billion, one hundred thirty-one million, seven thousand, six hundred sixteen".