2937314016 has 432 divisors, whose sum is σ = 10870043184. Its totient is φ = 773369856.

The previous prime is 2937313979. The next prime is 2937314041. The reversal of 2937314016 is 6104137392.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4953016 + ... + 4953608.

It is an arithmetic number, because the mean of its divisors is an integer number (25162137).

Almost surely, 2^2937314016 is an apocalyptic number.

2937314016 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 2937314016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435021592).

2937314016 is an abundant number, since it is smaller than the sum of its proper divisors (7932729168).

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

2937314016 is a wasteful number, since it uses less digits than its factorization.

2937314016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2937314016 is about 54196.9926840964. The cubic root of 2937314016 is about 1432.1333531650.

The spelling of 2937314016 in words is "two billion, nine hundred thirty-seven million, three hundred fourteen thousand, sixteen".