2154213592440 has 1024 divisors, whose sum is σ = 8578134835200. Its totient is φ = 420120649728.

The previous prime is 2154213592439. The next prime is 2154213592451. The reversal of 2154213592440 is 442953124512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2154213592392 and 2154213592401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2496191449 + ... + 2496192311.

It is an arithmetic number, because the mean of its divisors is an integer number (8377084800).

Almost surely, 2^{2154213592440} is an apocalyptic number.

2154213592440 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 2154213592440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289067417600).

2154213592440 is an abundant number, since it is smaller than the sum of its proper divisors (6423921242760).

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

2154213592440 is a wasteful number, since it uses less digits than its factorization.

2154213592440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 2154213592440 in words is "two trillion, one hundred fifty-four billion, two hundred thirteen million, five hundred ninety-two thousand, four hundred forty".