2005762440 has 64 divisors (see below), whose sum is σ = 6564317760. Its totient is φ = 486245120.

The previous prime is 2005762427. The next prime is 2005762441. The reversal of 2005762440 is 442675002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2005762398 and 2005762407.

It is not an unprimeable number, because it can be changed into a prime (2005762441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758439 + ... + 761078.

It is an arithmetic number, because the mean of its divisors is an integer number (102567465).

Almost surely, 2^2005762440 is an apocalyptic number.

2005762440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005762440 is an abundant number, since it is smaller than the sum of its proper divisors (4558555320).

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

2005762440 is a wasteful number, since it uses less digits than its factorization.

2005762440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519542 (or 1519538 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2005762440 is about 44785.7392481133. The cubic root of 2005762440 is about 1261.1299262001.

The spelling of 2005762440 in words is "two billion, five million, seven hundred sixty-two thousand, four hundred forty".