2641430243200 has 384 divisors, whose sum is σ = 8150735462400. Its totient is φ = 824861491200.

The previous prime is 2641430243191. The next prime is 2641430243213. The reversal of 2641430243200 is 23420341462.

It is a super-2 number, since 2×2641430243200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 11692921 + ... + 11916679.

It is an arithmetic number, because the mean of its divisors is an integer number (21225873600).

Almost surely, 2^{2641430243200} is an apocalyptic number.

2641430243200 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 2641430243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075367731200).

2641430243200 is an abundant number, since it is smaller than the sum of its proper divisors (5509305219200).

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

2641430243200 is a wasteful number, since it uses less digits than its factorization.

2641430243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223838 (or 223821 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 2641430243200 its reverse (23420341462), we get a palindrome (2664850584662).

The spelling of 2641430243200 in words is "two trillion, six hundred forty-one billion, four hundred thirty million, two hundred forty-three thousand, two hundred".