2014735464 has 128 divisors (see below), whose sum is σ = 6532300800. Its totient is φ = 563371200.

The previous prime is 2014735451. The next prime is 2014735519. The reversal of 2014735464 is 4645374102.

2014735464 is a `hidden beast` number, since 20 + 147 + 35 + 464 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56889 + ... + 85239.

It is an arithmetic number, because the mean of its divisors is an integer number (51033600).

Almost surely, 2^2014735464 is an apocalyptic number.

2014735464 is a gapful number since it is divisible by the number (24) 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 2014735464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266150400).

2014735464 is an abundant number, since it is smaller than the sum of its proper divisors (4517565336).

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

2014735464 is a wasteful number, since it uses less digits than its factorization.

2014735464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28420 (or 28410 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2014735464 is about 44885.8047048285. The cubic root of 2014735464 is about 1263.0077351832.

It can be divided in two parts, 20147 and 35464, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 2014735464 in words is "two billion, fourteen million, seven hundred thirty-five thousand, four hundred sixty-four".