2554200145200 has 240 divisors, whose sum is σ = 8942292156672. Its totient is φ = 618053760000.

The previous prime is 2554200145187. The next prime is 2554200145213. The reversal of 2554200145200 is 25410024552.

It is an interprime number because it is at equal distance from previous prime (2554200145187) and next prime (2554200145213).

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

It is a super-3 number, since 3×2554200145200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6962365 + ... + 7320035.

Almost surely, 2^{2554200145200} is an apocalyptic number.

2554200145200 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 2554200145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471146078336).

2554200145200 is an abundant number, since it is smaller than the sum of its proper divisors (6388092011472).

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

2554200145200 is a wasteful number, since it uses less digits than its factorization.

2554200145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358244 (or 358233 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 2554200145200 its reverse (25410024552), we get a palindrome (2579610169752).

The spelling of 2554200145200 in words is "two trillion, five hundred fifty-four billion, two hundred million, one hundred forty-five thousand, two hundred".