2034001124400 has 240 divisors, whose sum is σ = 7447380114944. Its totient is φ = 464852183040.

The previous prime is 2034001124341. The next prime is 2034001124417. The reversal of 2034001124400 is 44211004302.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 97370757 + ... + 97391643.

Almost surely, 2^{2034001124400} is an apocalyptic number.

2034001124400 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 2034001124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723690057472).

2034001124400 is an abundant number, since it is smaller than the sum of its proper divisors (5413378990544).

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

2034001124400 is a wasteful number, since it uses less digits than its factorization.

2034001124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32508 (or 32497 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 2034001124400 its reverse (44211004302), we get a palindrome (2078212128702).

The spelling of 2034001124400 in words is "two trillion, thirty-four billion, one million, one hundred twenty-four thousand, four hundred".