2034402289920 has 3456 divisors, whose sum is σ = 10221983170560. Its totient is φ = 376233984000.

The previous prime is 2034402289919. The next prime is 2034402289949. The reversal of 2034402289920 is 299822044302.

2034402289920 is a `hidden beast` number, since 2 + 0 + 344 + 0 + 2 + 289 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7507019385 + ... + 7507019655.

It is an arithmetic number, because the mean of its divisors is an integer number (2957749760).

Almost surely, 2^{2034402289920} is an apocalyptic number.

2034402289920 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 2034402289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110991585280).

2034402289920 is an abundant number, since it is smaller than the sum of its proper divisors (8187580880640).

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

2034402289920 is a wasteful number, since it uses less digits than its factorization.

2034402289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2034402289920 in words is "two trillion, thirty-four billion, four hundred two million, two hundred eighty-nine thousand, nine hundred twenty".