2763763420 has 72 divisors (see below), whose sum is σ = 6394316544. Its totient is φ = 1002672000.

The previous prime is 2763763399. The next prime is 2763763439. The reversal of 2763763420 is 243673672.

It is a super-3 number, since 3×2763763420³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1308165 + ... + 1310275.

It is an arithmetic number, because the mean of its divisors is an integer number (88809952).

Almost surely, 2^2763763420 is an apocalyptic number.

2763763420 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 2763763420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197158272).

2763763420 is an abundant number, since it is smaller than the sum of its proper divisors (3630553124).

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

2763763420 is a wasteful number, since it uses less digits than its factorization.

2763763420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2670 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The square root of 2763763420 is about 52571.5076823939. The cubic root of 2763763420 is about 1403.3530885796.

The spelling of 2763763420 in words is "two billion, seven hundred sixty-three million, seven hundred sixty-three thousand, four hundred twenty".