2254145532120 has 256 divisors, whose sum is σ = 7962503472000. Its totient is φ = 566221824000.

The previous prime is 2254145532113. The next prime is 2254145532131. The reversal of 2254145532120 is 212355414522.

2254145532120 is a `hidden beast` number, since 2 + 2 + 54 + 1 + 455 + 32 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 406420 + ... + 2161820.

Almost surely, 2^{2254145532120} is an apocalyptic number.

2254145532120 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 2254145532120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981251736000).

2254145532120 is an abundant number, since it is smaller than the sum of its proper divisors (5708357939880).

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

2254145532120 is a wasteful number, since it uses less digits than its factorization.

2254145532120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755491 (or 1755481 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2254145532120 in words is "two trillion, two hundred fifty-four billion, one hundred forty-five million, five hundred thirty-two thousand, one hundred twenty".