2290156416 has 192 divisors, whose sum is σ = 6911377200. Its totient is φ = 755827200.

The previous prime is 2290156409. The next prime is 2290156441. The reversal of 2290156416 is 6146510922.

2290156416 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 1 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22674766 + ... + 22674866.

Almost surely, 2^2290156416 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 2290156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455688600).

2290156416 is an abundant number, since it is smaller than the sum of its proper divisors (4621220784).

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

2290156416 is an frugal number, since it uses more digits than its factorization.

2290156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 106 counting only the distinct ones).

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

The square root of 2290156416 is about 47855.5787343545. The cubic root of 2290156416 is about 1318.1202997552.

The spelling of 2290156416 in words is "two billion, two hundred ninety million, one hundred fifty-six thousand, four hundred sixteen".