2153465426240 has 112 divisors (see below), whose sum is σ = 5157979706880. Its totient is φ = 856343255040.

The previous prime is 2153465426227. The next prime is 2153465426341. The reversal of 2153465426240 is 426245643512.

It is a happy number.

It is a super-2 number, since 2×2153465426240² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2153465426191 and 2153465426200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305756159 + ... + 305763201.

It is an arithmetic number, because the mean of its divisors is an integer number (46053390240).

Almost surely, 2^{2153465426240} is an apocalyptic number.

2153465426240 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 2153465426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578989853440).

2153465426240 is an abundant number, since it is smaller than the sum of its proper divisors (3004514280640).

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

2153465426240 is a wasteful number, since it uses less digits than its factorization.

2153465426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12520 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 2153465426240 in words is "two trillion, one hundred fifty-three billion, four hundred sixty-five million, four hundred twenty-six thousand, two hundred forty".