2048639040 has 420 divisors, whose sum is σ = 8482399596. Its totient is φ = 467970048.

The previous prime is 2048639027. The next prime is 2048639053. The reversal of 2048639040 is 409368402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2048639027) and next prime (2048639053).

It can be written as a sum of positive squares in 2 ways, for example, as 1008189504 + 1040449536 = 31752^2 + 32256^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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 = 2048638986 and 2048639004.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269274 + ... + 1270886.

Almost surely, 2^2048639040 is an apocalyptic number.

2048639040 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 2048639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241199798).

2048639040 is an abundant number, since it is smaller than the sum of its proper divisors (6433760556).

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

2048639040 is a wasteful number, since it uses less digits than its factorization.

2048639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2048639040 is about 45261.8939064640. The cubic root of 2048639040 is about 1270.0529128346.

The spelling of 2048639040 in words is "two billion, forty-eight million, six hundred thirty-nine thousand, forty".