2253682421760 has 1664 divisors, whose sum is σ = 9430596845568. Its totient is φ = 449622835200.

The previous prime is 2253682421759. The next prime is 2253682421761. The reversal of 2253682421760 is 671242863522.

It is an interprime number because it is at equal distance from previous prime (2253682421759) and next prime (2253682421761).

It is a super-3 number, since 3×2253682421760³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253682421761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17745530817 + ... + 17745530943.

Almost surely, 2^{2253682421760} is an apocalyptic number.

2253682421760 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 2253682421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715298422784).

2253682421760 is an abundant number, since it is smaller than the sum of its proper divisors (7176914423808).

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

2253682421760 is a wasteful number, since it uses less digits than its factorization.

2253682421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2253682421760 in words is "two trillion, two hundred fifty-three billion, six hundred eighty-two million, four hundred twenty-one thousand, seven hundred sixty".