2004270953040 has 400 divisors, whose sum is σ = 7063434460368. Its totient is φ = 526632026112.

The previous prime is 2004270953033. The next prime is 2004270953059. The reversal of 2004270953040 is 403590724002.

It can be written as a sum of positive squares in 8 ways, for example, as 2306304576 + 2001964648464 = 48024^2 + 1414908^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2004270952986 and 2004270953004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 829237912 + ... + 829240328.

Almost surely, 2^{2004270953040} is an apocalyptic number.

2004270953040 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 2004270953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531717230184).

2004270953040 is an abundant number, since it is smaller than the sum of its proper divisors (5059163507328).

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

2004270953040 is a wasteful number, since it uses less digits than its factorization.

2004270953040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2004270953040 in words is "two trillion, four billion, two hundred seventy million, nine hundred fifty-three thousand, forty".