2819878740 has 288 divisors, whose sum is σ = 10574613504. Its totient is φ = 593510400.

The previous prime is 2819878687. The next prime is 2819878753. The reversal of 2819878740 is 478789182.

It is a happy number.

2819878740 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2819878740² = 15903432216607975200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1005340 + ... + 1008140.

It is an arithmetic number, because the mean of its divisors is an integer number (36717408).

Almost surely, 2^2819878740 is an apocalyptic number.

2819878740 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 2819878740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5287306752).

2819878740 is an abundant number, since it is smaller than the sum of its proper divisors (7754734764).

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

2819878740 is a wasteful number, since it uses less digits than its factorization.

2819878740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2887 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 2819878740 is about 53102.5304481811. The cubic root of 2819878740 is about 1412.7873938410.

The spelling of 2819878740 in words is "two billion, eight hundred nineteen million, eight hundred seventy-eight thousand, seven hundred forty".