1002772540 has 96 divisors (see below), whose sum is σ = 2779951104. Its totient is φ = 294159360.

The previous prime is 1002772501. The next prime is 1002772543. The reversal of 1002772540 is 452772001.

1002772540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1002772499 and 1002772508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002772543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7029 + ... + 45331.

It is an arithmetic number, because the mean of its divisors is an integer number (28957824).

Almost surely, 2^1002772540 is an apocalyptic number.

1002772540 is a gapful number since it is divisible by the number (10) 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 1002772540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389975552).

1002772540 is an abundant number, since it is smaller than the sum of its proper divisors (1777178564).

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

1002772540 is a wasteful number, since it uses less digits than its factorization.

1002772540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38347 (or 38345 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 1002772540 is about 31666.5839648043. The cubic root of 1002772540 is about 1000.9233272045.

The spelling of 1002772540 in words is "one billion, two million, seven hundred seventy-two thousand, five hundred forty".