2458153971200 has 240 divisors, whose sum is σ = 6470791557120. Its totient is φ = 922795499520.

The previous prime is 2458153971179. The next prime is 2458153971211. The reversal of 2458153971200 is 21793518542.

It is a super-2 number, since 2×2458153971200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25975169 + ... + 26069631.

It is an arithmetic number, because the mean of its divisors is an integer number (26961631488).

Almost surely, 2^{2458153971200} is an apocalyptic number.

2458153971200 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 2458153971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235395778560).

2458153971200 is an abundant number, since it is smaller than the sum of its proper divisors (4012637585920).

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

2458153971200 is a wasteful number, since it uses less digits than its factorization.

2458153971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94617 (or 94596 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 2458153971200 in words is "two trillion, four hundred fifty-eight billion, one hundred fifty-three million, nine hundred seventy-one thousand, two hundred".