2259029642040 has 192 divisors, whose sum is σ = 7634524584960. Its totient is φ = 600765517440.

The previous prime is 2259029642039. The next prime is 2259029642057. The reversal of 2259029642040 is 402469209522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3250605 + ... + 3883875.

It is an arithmetic number, because the mean of its divisors is an integer number (39763148880).

Almost surely, 2^{2259029642040} is an apocalyptic number.

2259029642040 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 2259029642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817262292480).

2259029642040 is an abundant number, since it is smaller than the sum of its proper divisors (5375494942920).

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

2259029642040 is a wasteful number, since it uses less digits than its factorization.

2259029642040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633664 (or 633648 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2259029642040 in words is "two trillion, two hundred fifty-nine billion, twenty-nine million, six hundred forty-two thousand, forty".