2006245101400 has 96 divisors (see below), whose sum is σ = 4696879380480. Its totient is φ = 796934160000.

The previous prime is 2006245101397. The next prime is 2006245101403. The reversal of 2006245101400 is 41015426002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2006245101397) and next prime (2006245101403).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006245101403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119190985 + ... + 119207815.

It is an arithmetic number, because the mean of its divisors is an integer number (48925826880).

Almost surely, 2^{2006245101400} is an apocalyptic number.

2006245101400 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 2006245101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348439690240).

2006245101400 is an abundant number, since it is smaller than the sum of its proper divisors (2690634279080).

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

2006245101400 is a wasteful number, since it uses less digits than its factorization.

2006245101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20945 (or 20936 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 2006245101400 in words is "two trillion, six billion, two hundred forty-five million, one hundred one thousand, four hundred".