2455090909920 has 1440 divisors, whose sum is σ = 10175316028416. Its totient is φ = 555705722880.

The previous prime is 2455090909919. The next prime is 2455090909927. The reversal of 2455090909920 is 299090905542.

2455090909920 is a `hidden beast` number, since 2 + 45 + 509 + 0 + 9 + 0 + 9 + 92 + 0 = 666.

2455090909920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455090909927) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1550909449 + ... + 1550911031.

Almost surely, 2^{2455090909920} is an apocalyptic number.

2455090909920 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 2455090909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087658014208).

2455090909920 is an abundant number, since it is smaller than the sum of its proper divisors (7720225118496).

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

2455090909920 is a wasteful number, since it uses less digits than its factorization.

2455090909920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 2455090909920 in words is "two trillion, four hundred fifty-five billion, ninety million, nine hundred nine thousand, nine hundred twenty".