2966139540 has 288 divisors, whose sum is σ = 11561679360. Its totient is φ = 625750272.

The previous prime is 2966139479. The next prime is 2966139559. The reversal of 2966139540 is 459316692.

2966139540 is a `hidden beast` number, since 2 + 96 + 6 + 13 + 9 + 540 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339669 + ... + 348291.

It is an arithmetic number, because the mean of its divisors is an integer number (40144720).

Almost surely, 2^2966139540 is an apocalyptic number.

2966139540 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 2966139540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780839680).

2966139540 is an abundant number, since it is smaller than the sum of its proper divisors (8595539820).

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

2966139540 is a wasteful number, since it uses less digits than its factorization.

2966139540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8668 (or 8653 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2966139540 is about 54462.2763020423. The cubic root of 2966139540 is about 1436.8028896180.

It can be divided in two parts, 296613 and 9540, that added together give a triangular number (306153 = T₇₈₂).

The spelling of 2966139540 in words is "two billion, nine hundred sixty-six million, one hundred thirty-nine thousand, five hundred forty".