2401002103200 has 144 divisors (see below), whose sum is σ = 7822433769696. Its totient is φ = 639679667200.

The previous prime is 2401002103163. The next prime is 2401002103211. The reversal of 2401002103200 is 23012001042.

It is a super-2 number, since 2×2401002103200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2401002103200.

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, 2159914 + ... + 3076886.

It is an arithmetic number, because the mean of its divisors is an integer number (54322456734).

Almost surely, 2^{2401002103200} is an apocalyptic number.

2401002103200 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 2401002103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911216884848).

2401002103200 is an abundant number, since it is smaller than the sum of its proper divisors (5421431666496).

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

2401002103200 is a wasteful number, since it uses less digits than its factorization.

2401002103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918087 (or 918074 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2401002103200 its reverse (23012001042), we get a palindrome (2424014104242).

The spelling of 2401002103200 in words is "two trillion, four hundred one billion, two million, one hundred three thousand, two hundred".