1902882240 has 448 divisors, whose sum is σ = 7795077120. Its totient is φ = 427991040.

The previous prime is 1902882239. The next prime is 1902882307. The reversal of 1902882240 is 422882091.

1902882240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1902882195 and 1902882204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4414825 + ... + 4415255.

Almost surely, 2^1902882240 is an apocalyptic number.

1902882240 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 1902882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897538560).

1902882240 is an abundant number, since it is smaller than the sum of its proper divisors (5892194880).

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

1902882240 is a wasteful number, since it uses less digits than its factorization.

1902882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1902882240 is about 43622.0384668117. The cubic root of 1902882240 is about 1239.1882998583.

The spelling of 1902882240 in words is "one billion, nine hundred two million, eight hundred eighty-two thousand, two hundred forty".