2426753952 has 192 divisors, whose sum is σ = 8121738240. Its totient is φ = 690571008.

The previous prime is 2426753951. The next prime is 2426753963. The reversal of 2426753952 is 2593576242.

2426753952 is a `hidden beast` number, since 2 + 4 + 2 + 67 + 539 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2426753898 and 2426753907.

It is not an unprimeable number, because it can be changed into a prime (2426753951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1856083 + ... + 1857389.

It is an arithmetic number, because the mean of its divisors is an integer number (42300720).

Almost surely, 2^2426753952 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 2426753952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060869120).

2426753952 is an abundant number, since it is smaller than the sum of its proper divisors (5694984288).

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

2426753952 is a wasteful number, since it uses less digits than its factorization.

2426753952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 2426753952 is about 49262.0944743522. The cubic root of 2426753952 is about 1343.8225212073.

The spelling of 2426753952 in words is "two billion, four hundred twenty-six million, seven hundred fifty-three thousand, nine hundred fifty-two".