2781913940 has 96 divisors (see below), whose sum is σ = 6639978240. Its totient is φ = 971283456.

The previous prime is 2781913913. The next prime is 2781913951. The reversal of 2781913940 is 493191872.

It is a junction number, because it is equal to n+sod(n) for n = 2781913891 and 2781913900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529607 + ... + 534833.

It is an arithmetic number, because the mean of its divisors is an integer number (69166440).

Almost surely, 2^2781913940 is an apocalyptic number.

2781913940 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 2781913940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319989120).

2781913940 is an abundant number, since it is smaller than the sum of its proper divisors (3858064300).

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

2781913940 is a wasteful number, since it uses less digits than its factorization.

2781913940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 44.

The square root of 2781913940 is about 52743.8521535923. The cubic root of 2781913940 is about 1406.4184776845.

The spelling of 2781913940 in words is "two billion, seven hundred eighty-one million, nine hundred thirteen thousand, nine hundred forty".