2075451840 has 672 divisors, whose sum is σ = 9129369600. Its totient is φ = 429004800.

The previous prime is 2075451827. The next prime is 2075451863. The reversal of 2075451840 is 481545702.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 2075451795 and 2075451804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10866145 + ... + 10866335.

Almost surely, 2^2075451840 is an apocalyptic number.

2075451840 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 2075451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564684800).

2075451840 is an abundant number, since it is smaller than the sum of its proper divisors (7053917760).

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

2075451840 is a wasteful number, since it uses less digits than its factorization.

2075451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2075451840 is about 45557.1272140814. The cubic root of 2075451840 is about 1275.5697753279.

The spelling of 2075451840 in words is "two billion, seventy-five million, four hundred fifty-one thousand, eight hundred forty".