2454670902240 has 240 divisors, whose sum is σ = 8664372541440. Its totient is φ = 654470876160.

The previous prime is 2454670902209. The next prime is 2454670902241. The reversal of 2454670902240 is 422090764542.

2454670902240 is a `hidden beast` number, since 2 + 45 + 467 + 0 + 90 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2454670902241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106532641 + ... + 106555679.

It is an arithmetic number, because the mean of its divisors is an integer number (36101552256).

Almost surely, 2^{2454670902240} is an apocalyptic number.

2454670902240 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 2454670902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332186270720).

2454670902240 is an abundant number, since it is smaller than the sum of its proper divisors (6209701639200).

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

2454670902240 is a wasteful number, since it uses less digits than its factorization.

2454670902240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31287 (or 31270 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2454670902240 in words is "two trillion, four hundred fifty-four billion, six hundred seventy million, nine hundred two thousand, two hundred forty".