2034414720 has 384 divisors, whose sum is σ = 7668788400. Its totient is φ = 493977600.

The previous prime is 2034414713. The next prime is 2034414727. The reversal of 2034414720 is 274144302.

It is an interprime number because it is at equal distance from previous prime (2034414713) and next prime (2034414727).

It can be written as a sum of positive squares in 8 ways, for example, as 554319936 + 1480094784 = 23544^2 + 38472^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2034414727) 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, 7562746 + ... + 7563014.

Almost surely, 2^2034414720 is an apocalyptic number.

2034414720 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 2034414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834394200).

2034414720 is an abundant number, since it is smaller than the sum of its proper divisors (5634373680).

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

2034414720 is a wasteful number, since it uses less digits than its factorization.

2034414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2034414720 is about 45104.4866947846. The cubic root of 2034414720 is about 1267.1066295606.

The spelling of 2034414720 in words is "two billion, thirty-four million, four hundred fourteen thousand, seven hundred twenty".