2406039552 has 450 divisors, whose sum is σ = 8587771962. Its totient is φ = 668860416.

The previous prime is 2406039533. The next prime is 2406039593. The reversal of 2406039552 is 2559306042.

2406039552 is a `hidden beast` number, since 2 + 40 + 60 + 3 + 9 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2341011456 + 65028096 = 48384^2 + 8064^2 .

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 65028078 + ... + 65028114.

Almost surely, 2^2406039552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2406039552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293885981).

2406039552 is an abundant number, since it is smaller than the sum of its proper divisors (6181732410).

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

2406039552 is an frugal number, since it uses more digits than its factorization.

2406039552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2406039552 is about 49051.3970443248. The cubic root of 2406039552 is about 1339.9880358329.

The spelling of 2406039552 in words is "two billion, four hundred six million, thirty-nine thousand, five hundred fifty-two".