2054154533200 has 480 divisors, whose sum is σ = 6653485006848. Its totient is φ = 589765632000.

The previous prime is 2054154533191. The next prime is 2054154533261. The reversal of 2054154533200 is 23354514502.

It is a super-2 number, since 2×2054154533200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24567465 + ... + 24650935.

Almost surely, 2^{2054154533200} is an apocalyptic number.

2054154533200 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 2054154533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326742503424).

2054154533200 is an abundant number, since it is smaller than the sum of its proper divisors (4599330473648).

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

2054154533200 is a wasteful number, since it uses less digits than its factorization.

2054154533200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83571 (or 83560 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 2054154533200 in words is "two trillion, fifty-four billion, one hundred fifty-four million, five hundred thirty-three thousand, two hundred".