2029516416 has 48 divisors (see below), whose sum is σ = 5840148210. Its totient is φ = 676505088.

The previous prime is 2029516409. The next prime is 2029516417. The reversal of 2029516416 is 6146159202.

2029516416 is a `hidden beast` number, since 2 + 0 + 2 + 9 + 5 + 1 + 641 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1436106816 + 593409600 = 37896^2 + 24360^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 (2029516417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 879715 + ... + 882018.

Almost surely, 2^2029516416 is an apocalyptic number.

It is an amenable number.

2029516416 is an abundant number, since it is smaller than the sum of its proper divisors (3810631794).

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

2029516416 is a wasteful number, since it uses less digits than its factorization.

2029516416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761753 (or 1761738 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2029516416 is about 45050.1544503457. The cubic root of 2029516416 is about 1266.0888656801.

The spelling of 2029516416 in words is "two billion, twenty-nine million, five hundred sixteen thousand, four hundred sixteen".