2632151545440 has 192 divisors, whose sum is σ = 8369371422720. Its totient is φ = 695312916480.

The previous prime is 2632151545417. The next prime is 2632151545487. The reversal of 2632151545440 is 445451512362.

It is a junction number, because it is equal to n+sod(n) for n = 2632151545392 and 2632151545401.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40139880 + ... + 40205400.

It is an arithmetic number, because the mean of its divisors is an integer number (43590476160).

Almost surely, 2^{2632151545440} is an apocalyptic number.

2632151545440 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 2632151545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184685711360).

2632151545440 is an abundant number, since it is smaller than the sum of its proper divisors (5737219877280).

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

2632151545440 is a wasteful number, since it uses less digits than its factorization.

2632151545440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66325 (or 66317 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 2632151545440 in words is "two trillion, six hundred thirty-two billion, one hundred fifty-one million, five hundred forty-five thousand, four hundred forty".