2914479360 has 432 divisors, whose sum is σ = 11221560000. Its totient is φ = 715972608.

The previous prime is 2914479349. The next prime is 2914479361. The reversal of 2914479360 is 639744192.

It is a happy number.

2914479360 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 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2914479361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5840391 + ... + 5840889.

Almost surely, 2^2914479360 is an apocalyptic number.

2914479360 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 2914479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610780000).

2914479360 is an abundant number, since it is smaller than the sum of its proper divisors (8307080640).

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

2914479360 is a wasteful number, since it uses less digits than its factorization.

2914479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2914479360 is about 53985.9181639064. The cubic root of 2914479360 is about 1428.4125635149.

The spelling of 2914479360 in words is "two billion, nine hundred fourteen million, four hundred seventy-nine thousand, three hundred sixty".