2109577478400 has 3888 divisors, whose sum is σ = 10096713768960. Its totient is φ = 432669081600.

The previous prime is 2109577478383. The next prime is 2109577478401. The reversal of 2109577478400 is 48747759012.

2109577478400 is a `hidden beast` number, since 2 + 10 + 95 + 7 + 74 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2109577478401) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 44884627177 + ... + 44884627223.

Almost surely, 2^{2109577478400} is an apocalyptic number.

2109577478400 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 2109577478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048356884480).

2109577478400 is an abundant number, since it is smaller than the sum of its proper divisors (7987136290560).

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

2109577478400 is a wasteful number, since it uses less digits than its factorization.

2109577478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 2109577478400 in words is "two trillion, one hundred nine billion, five hundred seventy-seven million, four hundred seventy-eight thousand, four hundred".