2452091616 has 288 divisors, whose sum is σ = 7890075648. Its totient is φ = 744629760.

The previous prime is 2452091581. The next prime is 2452091627. The reversal of 2452091616 is 6161902542.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 12838081 + ... + 12838271.

It is an arithmetic number, because the mean of its divisors is an integer number (27396096).

Almost surely, 2^2452091616 is an apocalyptic number.

2452091616 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 2452091616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945037824).

2452091616 is an abundant number, since it is smaller than the sum of its proper divisors (5437984032).

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

2452091616 is a wasteful number, since it uses less digits than its factorization.

2452091616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 336 counting only the distinct ones).

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

The square root of 2452091616 is about 49518.5986877658. The cubic root of 2452091616 is about 1348.4832743740.

The spelling of 2452091616 in words is "two billion, four hundred fifty-two million, ninety-one thousand, six hundred sixteen".