3022767540 has 144 divisors (see below), whose sum is σ = 10141539408. Its totient is φ = 723935232.

The previous prime is 3022767523. The next prime is 3022767563. The reversal of 3022767540 is 457672203.

It is a happy number.

3022767540 is a `hidden beast` number, since 30 + 2 + 27 + 67 + 540 = 666.

3022767540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6780816 + 3015986724 = 2604^2 + 54918^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3022767495 and 3022767504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69124 + ... + 104036.

It is an arithmetic number, because the mean of its divisors is an integer number (70427357).

Almost surely, 2^3022767540 is an apocalyptic number.

3022767540 is a gapful number since it is divisible by the number (30) 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 3022767540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070769704).

3022767540 is an abundant number, since it is smaller than the sum of its proper divisors (7118771868).

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

3022767540 is a wasteful number, since it uses less digits than its factorization.

3022767540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34978 (or 34973 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3022767540 is about 54979.7011632475. The cubic root of 3022767540 is about 1445.8888765233. Note that the first 4 decimals are identical.

The spelling of 3022767540 in words is "three billion, twenty-two million, seven hundred sixty-seven thousand, five hundred forty".