2681762940 has 144 divisors (see below), whose sum is σ = 8357757408. Its totient is φ = 695665152.

The previous prime is 2681762929. The next prime is 2681762957. The reversal of 2681762940 is 492671862.

It is a happy number.

2681762940 is a `hidden beast` number, since 2 + 6 + 8 + 17 + 629 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 2453034 + ... + 2454126.

It is an arithmetic number, because the mean of its divisors is an integer number (58039982).

Almost surely, 2^2681762940 is an apocalyptic number.

2681762940 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 2681762940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178878704).

2681762940 is an abundant number, since it is smaller than the sum of its proper divisors (5675994468).

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

2681762940 is a wasteful number, since it uses less digits than its factorization.

2681762940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2681762940 is about 51785.7407014711. The cubic root of 2681762940 is about 1389.3344190247.

The spelling of 2681762940 in words is "two billion, six hundred eighty-one million, seven hundred sixty-two thousand, nine hundred forty".