2290514903040 has 1920 divisors, whose sum is σ = 9698411261952. Its totient is φ = 448454983680.

The previous prime is 2290514902961. The next prime is 2290514903057. The reversal of 2290514903040 is 403094150922.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2290514903040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31376916444 + ... + 31376916516.

Almost surely, 2^{2290514903040} is an apocalyptic number.

2290514903040 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 2290514903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849205630976).

2290514903040 is an abundant number, since it is smaller than the sum of its proper divisors (7407896358912).

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

2290514903040 is a wasteful number, since it uses less digits than its factorization.

2290514903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 2290514903040 in words is "two trillion, two hundred ninety billion, five hundred fourteen million, nine hundred three thousand, forty".