2535419290000 has 75 divisors (see below), whose sum is σ = 6138889178983. Its totient is φ = 1014104024000.

The previous prime is 2535419289947. The next prime is 2535419290021. The reversal of 2535419290000 is 929145352.

The square root of 2535419290000 is 1592300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 198776872336 + 2336642417664 = 445844^2 + 1528608^2 .

It is a super-2 number, since 2×2535419290000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 159222039 + ... + 159237961.

Almost surely, 2^{2535419290000} is an apocalyptic number.

2535419290000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2535419290000 is the 1592300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2535419290000

2535419290000 is an abundant number, since it is smaller than the sum of its proper divisors (3603469888983).

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

2535419290000 is an frugal number, since it uses more digits than its factorization.

2535419290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31874 (or 15930 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 2535419290000 in words is "two trillion, five hundred thirty-five billion, four hundred nineteen million, two hundred ninety thousand".