2078781264 has 240 divisors, whose sum is σ = 6844061952. Its totient is φ = 576755712.

The previous prime is 2078781223. The next prime is 2078781319. The reversal of 2078781264 is 4621878702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8921692 + ... + 8921924.

Almost surely, 2^2078781264 is an apocalyptic number.

2078781264 is a gapful number since it is divisible by the number (24) 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 2078781264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422030976).

2078781264 is an abundant number, since it is smaller than the sum of its proper divisors (4765280688).

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

2078781264 is a wasteful number, since it uses less digits than its factorization.

2078781264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2078781264 is about 45593.6537689183. The cubic root of 2078781264 is about 1276.2514973524.

The spelling of 2078781264 in words is "two billion, seventy-eight million, seven hundred eighty-one thousand, two hundred sixty-four".