2078146560 has 288 divisors, whose sum is σ = 7650381312. Its totient is φ = 471859200.

The previous prime is 2078146547. The next prime is 2078146573. The reversal of 2078146560 is 656418702.

It is an interprime number because it is at equal distance from previous prime (2078146547) and next prime (2078146573).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13762485 + ... + 13762635.

It is an arithmetic number, because the mean of its divisors is an integer number (26563824).

Almost surely, 2^2078146560 is an apocalyptic number.

2078146560 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 2078146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825190656).

2078146560 is an abundant number, since it is smaller than the sum of its proper divisors (5572234752).

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

2078146560 is an frugal number, since it uses more digits than its factorization.

2078146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2078146560 is about 45586.6927951568. The cubic root of 2078146560 is about 1276.1215936117.

The spelling of 2078146560 in words is "two billion, seventy-eight million, one hundred forty-six thousand, five hundred sixty".