2932540416 has 352 divisors, whose sum is σ = 9629088000. Its totient is φ = 875888640.

The previous prime is 2932540397. The next prime is 2932540417. The reversal of 2932540416 is 6140452392.

It is a happy number.

It is a super-3 number, since 3×2932540416³ (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2932540417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14736285 + ... + 14736483.

Almost surely, 2^2932540416 is an apocalyptic number.

2932540416 is a gapful number since it is divisible by the number (26) 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 2932540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814544000).

2932540416 is an abundant number, since it is smaller than the sum of its proper divisors (6696547584).

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

2932540416 is a wasteful number, since it uses less digits than its factorization.

2932540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2932540416 is about 54152.9354329015. The cubic root of 2932540416 is about 1431.3571180839.

The spelling of 2932540416 in words is "two billion, nine hundred thirty-two million, five hundred forty thousand, four hundred sixteen".