2253410640 has 240 divisors, whose sum is σ = 8579450880. Its totient is φ = 525450240.

The previous prime is 2253410623. The next prime is 2253410651. The reversal of 2253410640 is 460143522.

2253410640 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 4 + 10 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 171505 + ... + 184175.

It is an arithmetic number, because the mean of its divisors is an integer number (35747712).

Almost surely, 2^2253410640 is an apocalyptic number.

2253410640 is a gapful number since it is divisible by the number (20) 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 2253410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2253410640 is an abundant number, since it is smaller than the sum of its proper divisors (6326040240).

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

2253410640 is a wasteful number, since it uses less digits than its factorization.

2253410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12722 (or 12713 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2253410640 is about 47470.1025909993. The cubic root of 2253410640 is about 1311.0324669438.

The spelling of 2253410640 in words is "two billion, two hundred fifty-three million, four hundred ten thousand, six hundred forty".