2413973016 has 480 divisors, whose sum is σ = 8672970240. Its totient is φ = 613806336.

The previous prime is 2413973011. The next prime is 2413973039. The reversal of 2413973016 is 6103793142.

It is a super-2 number, since 2×2413973016² = 11654531443952272512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413973011) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36029415 + ... + 36029481.

It is an arithmetic number, because the mean of its divisors is an integer number (18068688).

Almost surely, 2^2413973016 is an apocalyptic number.

2413973016 is a gapful number since it is divisible by the number (26) 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 2413973016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336485120).

2413973016 is an abundant number, since it is smaller than the sum of its proper divisors (6258997224).

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

2413973016 is a wasteful number, since it uses less digits than its factorization.

2413973016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2413973016 is about 49132.1993808541. The cubic root of 2413973016 is about 1341.4592064257.

The spelling of 2413973016 in words is "two billion, four hundred thirteen million, nine hundred seventy-three thousand, sixteen".