2004977499840 has 1680 divisors, whose sum is σ = 8590873404960. Its totient is φ = 442283950080.

The previous prime is 2004977499829. The next prime is 2004977499857. The reversal of 2004977499840 is 489947794002.

2004977499840 is a `hidden beast` number, since 20 + 0 + 49 + 7 + 7 + 499 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7238185782 + ... + 7238186058.

It is an arithmetic number, because the mean of its divisors is an integer number (5113615122).

Almost surely, 2^{2004977499840} is an apocalyptic number.

2004977499840 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 2004977499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4295436702480).

2004977499840 is an abundant number, since it is smaller than the sum of its proper divisors (6585895905120).

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

2004977499840 is a wasteful number, since it uses less digits than its factorization.

2004977499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 2004977499840 in words is "two trillion, four billion, nine hundred seventy-seven million, four hundred ninety-nine thousand, eight hundred forty".