2635878685440 has 1728 divisors, whose sum is σ = 11594622638592. Its totient is φ = 501645312000.

The previous prime is 2635878685417. The next prime is 2635878685469. The reversal of 2635878685440 is 445868785362.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4385821140 + ... + 4385821740.

It is an arithmetic number, because the mean of its divisors is an integer number (6709851064).

Almost surely, 2^{2635878685440} is an apocalyptic number.

2635878685440 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 2635878685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797311319296).

2635878685440 is an abundant number, since it is smaller than the sum of its proper divisors (8958743953152).

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

2635878685440 is a wasteful number, since it uses less digits than its factorization.

2635878685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 309657600, while the sum is 66.

The spelling of 2635878685440 in words is "two trillion, six hundred thirty-five billion, eight hundred seventy-eight million, six hundred eighty-five thousand, four hundred forty".