2231254752160 has 384 divisors, whose sum is σ = 6643316736000. Its totient is φ = 690874748928.

The previous prime is 2231254752137. The next prime is 2231254752173. The reversal of 2231254752160 is 612574521322.

It is a super-3 number, since 3×2231254752160³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48729597 + ... + 48775363.

It is an arithmetic number, because the mean of its divisors is an integer number (17300304000).

Almost surely, 2^{2231254752160} is an apocalyptic number.

2231254752160 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 2231254752160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321658368000).

2231254752160 is an abundant number, since it is smaller than the sum of its proper divisors (4412061983840).

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

2231254752160 is a wasteful number, since it uses less digits than its factorization.

2231254752160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45916 (or 45908 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 2231254752160 in words is "two trillion, two hundred thirty-one billion, two hundred fifty-four million, seven hundred fifty-two thousand, one hundred sixty".