1804705290240 has 768 divisors, whose sum is σ = 6470440704000. Its totient is φ = 426749460480.

The previous prime is 1804705290239. The next prime is 1804705290263. The reversal of 1804705290240 is 420925074081.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1804705290240² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1804705290192 and 1804705290201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2371491460 + ... + 2371492220.

It is an arithmetic number, because the mean of its divisors is an integer number (8425053000).

Almost surely, 2^{1804705290240} is an apocalyptic number.

1804705290240 is a gapful number since it is divisible by the number (10) 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 1804705290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235220352000).

1804705290240 is an abundant number, since it is smaller than the sum of its proper divisors (4665735413760).

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

1804705290240 is a wasteful number, since it uses less digits than its factorization.

1804705290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 1804705290240 in words is "one trillion, eight hundred four billion, seven hundred five million, two hundred ninety thousand, two hundred forty".