2413941632 has 64 divisors (see below), whose sum is σ = 5030640000. Its totient is φ = 1151614464.

The previous prime is 2413941631. The next prime is 2413941637. The reversal of 2413941632 is 2361493142.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2413941632² = 11654228405405646848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2413941592 and 2413941601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413941631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1609619 + ... + 1611117.

It is an arithmetic number, because the mean of its divisors is an integer number (78603750).

Almost surely, 2^2413941632 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 2413941632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515320000).

2413941632 is an abundant number, since it is smaller than the sum of its proper divisors (2616698368).

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

2413941632 is a wasteful number, since it uses less digits than its factorization.

2413941632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2071 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 2413941632 is about 49131.8799965969. The cubic root of 2413941632 is about 1341.4533929751.

The spelling of 2413941632 in words is "two billion, four hundred thirteen million, nine hundred forty-one thousand, six hundred thirty-two".