2290439825856 has 336 divisors, whose sum is σ = 8083298641600. Its totient is φ = 603837628416.

The previous prime is 2290439825833. The next prime is 2290439825963. The reversal of 2290439825856 is 6585289340922.

2290439825856 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 43 + 9 + 8 + 2 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2290439825856² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2290439825793 and 2290439825802.

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, 166099410 + ... + 166113198.

Almost surely, 2^{2290439825856} is an apocalyptic number.

2290439825856 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 2290439825856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041649320800).

2290439825856 is an abundant number, since it is smaller than the sum of its proper divisors (5792858815744).

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

2290439825856 is a wasteful number, since it uses less digits than its factorization.

2290439825856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16996 (or 16983 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 2290439825856 in words is "two trillion, two hundred ninety billion, four hundred thirty-nine million, eight hundred twenty-five thousand, eight hundred fifty-six".